Each day a man meets his wife at the train station after : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 19 Jan 2017, 20:42

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Each day a man meets his wife at the train station after

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Manager
Joined: 09 Apr 2010
Posts: 80
Followers: 1

Kudos [?]: 63 [3] , given: 3

Each day a man meets his wife at the train station after [#permalink]

### Show Tags

01 May 2010, 08:41
3
KUDOS
14
This post was
BOOKMARKED
00:00

Difficulty:

95% (hard)

Question Stats:

43% (03:17) correct 57% (02:17) wrong based on 435 sessions

### HideShow timer Statistics

Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 20 minutes earlier than usual. How much time did the man spend walking?

A. 45 minutes
B. 50 minutes
C. 40 minutes
D. 55 minutes
E. 35 minutes
[Reveal] Spoiler: OA
Senior Manager
Joined: 25 Jun 2009
Posts: 306
Followers: 2

Kudos [?]: 120 [4] , given: 6

Re: How much time did the man spend walking? [#permalink]

### Show Tags

01 May 2010, 09:18
4
KUDOS
neoreaves wrote:
Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 20 minutes earlier than usual. How much time did the man spend walking?

A� 45 minutes

B� 50 minutes

C� 40 minutes

D� 55 minutes

E� 35 minutes

Is it B ? from the question stem we can see that his wife drove for 20 mins less. Lets plug in numbers to make it simple..

say for e.g every day his wife leaves her house by 4PM, reaches station at 5 PM and reaches back home at 6 PM. Now today they reached at 5:40 PM so that means his wife drove 10 mins less at each side ( 10 mins while going to station and 10 mins while coming back from station). Which means she picked him at 4:50 PM, also from the question stem we know that man's train reached one hour earlier which means 4 PM so that means the man walked for 50 mins...!

I hope I am able to explain..!

Cheers

PS : This is a PS question and should have been posted in PS forum.
Math Expert
Joined: 02 Sep 2009
Posts: 36567
Followers: 7081

Kudos [?]: 93220 [8] , given: 10553

Re: How much time did the man spend walking? [#permalink]

### Show Tags

01 May 2010, 09:20
8
KUDOS
Expert's post
5
This post was
BOOKMARKED
neoreaves wrote:
Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 20 minutes earlier than usual. How much time did the man spend walking?

A. 45 minutes
B. 50 minutes
C. 40 minutes
D. 55 minutes
E. 35 minutes

As they arrived 20 minutes earlier than usual, they saved 20 minutes on round trip from home to station (home-station-home) --> 10 minutes in each direction (home-station) --> wife meets husband 10 minutes earlier the usual meeting time --> husband arrived an hour earlier the usual meeting time, so he must have spent waking the rest of the time before their meeting, which is hour-10 minutes=50 minutes.

Similar questions to practice:
mrs-robbins-started-half-an-hour-later-than-usual-for-market-104482.html
a-man-arrives-at-a-railway-station-90mins-before-the-time-at-100073.html
ray-who-lives-in-the-countryside-caught-a-train-for-home-ea-84295.html
two-guns-were-fired-from-the-same-place-at-an-interval-of-93761.html

Hope it helps.
_________________
Senior Manager
Status: mba here i come!
Joined: 07 Aug 2011
Posts: 270
Followers: 42

Kudos [?]: 1057 [8] , given: 48

a man arrives at a train station 1 hr earlier [#permalink]

### Show Tags

26 Aug 2011, 06:25
8
KUDOS
4
This post was
BOOKMARKED
Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 20 minutes earlier than usual. How much time did the man spend walking?

A) 45 minutes
B) 50 minutes
C) 40 minutes
D) 55 minutes
E) 35 minutes

[Reveal] Spoiler: Solution
This isn't so hard if you look at it from another perspective.
We know that the wife left at the time that she normally leaves, because she had no idea that the husband had arrived early. We know that the wife and husband arrived home 20 minutes earlier than usual, even though the wife left home at the regular time. For them to arrive home 20 minutes early, the wife would have had to have encountered the husband after he had walked the distance covered by 10 minutes of travel in a car. 20 minutes would be saved because the wife would save the 10 minutes that would have been required to drive from the point she saw her husband to the station, as well as the ten minutes back from the station to the point she saw her husband.

So, let's say the husband usually arrives at 3pm. Today he arrives at 2pm. The wife leaves 2:30pm to pick him up. She will meet up with the husband at 2::50 pm, because of the above analysis (by meeting up with him at 2:50, rather than her normal 3 o'clock meeting, she saves 10 minutes from husband to station, and back from station to husband, and they arrive home 20 minutes early, as stated in the facts.

So, husband begins walking at 2pm, and wife meets up with him at 2:50=50 minutes. It does not matter which numbers you plug in for the time, the result is always the same. If husband arrives usually at 4:30pm, then that means today he arrived at 3:30 pm. Wife needs to meet up with him at 4:20 pm to save the 20 minutes back and forth. 3:30-4:20=50 minutes.

_________________

press +1 Kudos to appreciate posts

VP
Status: Top MBA Admissions Consultant
Joined: 24 Jul 2011
Posts: 1126
GMAT 1: 780 Q51 V48
GRE 1: 1540 Q800 V740
Followers: 124

Kudos [?]: 540 [1] , given: 19

Re: a man arrives at a train station 1 hr earlier [#permalink]

### Show Tags

26 Aug 2011, 10:17
1
KUDOS
1
This post was
BOOKMARKED
Let t be the time that the man spends walking. Let w be the man's speed of walking. Let v be the car's speed. Let d be the distance from the train station to the couple's home.

Then t + (d-wt)/v = d/v + 1 - (20/60)
[Time taken by man to walk + time taken by the couple to cover the rest of the distance in the car = Time taken by the couple to cover the entire distance from the station to their home in the car + one extra hour as the man had arrived an hour early - 20 minutes earlier that they reach]

Also wt/v + t = 1
[Time taken by man to walk from the station to where his wife picks him up + Time that the wife would have taken to go to the station had the man not walked = 1 hour]

Solving these two equations for t (note that d/v gets eliminated and wt/v gets substituted),
we get 2t = 5/3
=> t = 5/6 hours or (5/6)*60 = 50 minutes

The answer is (B)
_________________

GyanOne | Top MBA Rankings and MBA Admissions Blog

Top MBA Admissions Consulting | Top MiM Admissions Consulting

Premium MBA Essay Review|Best MBA Interview Preparation|Exclusive GMAT coaching

Get a FREE Detailed MBA Profile Evaluation | Call us now +91 98998 31738

Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2021
Followers: 161

Kudos [?]: 1705 [2] , given: 376

Re: a man arrives at a train station 1 hr earlier [#permalink]

### Show Tags

29 Aug 2011, 07:01
2
KUDOS
MBAhereIcome wrote:
Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 20 minutes earlier than usual. How much time did the man spend walking?

A) 45 minutes
B) 50 minutes
C) 40 minutes
D) 55 minutes
E) 35 minutes

This sounds like a puzzle to me. They save 20 mins driving to and fro from the meeting junction to the station, 10 mins each side. So, if the man didn't walk at all, his wife would be there in the station in 10 minutes for sure. Daily his wife picks him @ say 5PM. So, it must be 4:50(10 minutes before 5:00) when they met. The man started walking @4:00(1 hour early). He must have walked 50 minutes when they met.

Ans: "B"
_________________
Manager
Joined: 28 Jul 2011
Posts: 240
Followers: 3

Kudos [?]: 119 [0], given: 16

Re: a man arrives at a train station 1 hr earlier [#permalink]

### Show Tags

29 Aug 2011, 13:11
I was not able to solve this problem, also the methods mention above didnot help, can any one explain me.
I was able to solve this problem only to the extent at

Every day
By Car:
Arrival at station : 5:00 PM
couple reach home: 5:30 PM
So time taken 30 mins

today
Car + walk
Arrival station at: 4:00 PM
Reach home: 5:10 PM
Time taken 70 mins

then how do i go ahead calculating it?
Senior Manager
Status: mba here i come!
Joined: 07 Aug 2011
Posts: 270
Followers: 42

Kudos [?]: 1057 [0], given: 48

Re: a man arrives at a train station 1 hr earlier [#permalink]

### Show Tags

04 Sep 2011, 05:46
kuttingchai wrote:
I was not able to solve this problem, also the methods mention above didnot help, can any one explain me.
I was able to solve this problem only to the extent at

Every day
By Car:
Arrival at station : 5:00 PM
couple reach home: 5:30 PM
So time taken 30 mins

today
Car + walk
Arrival station at: 4:00 PM
Reach home: 5:10 PM
Time taken 70 mins

then how do i go ahead calculating it?

the question is "How much time did the man spend walking?"

it is a 30mins drive, so wife leaves home at 4:30 PM. we know that the couples reached 20mins early, so the wife drove 10mins less each direction. that means when she saw her husband when she had driven for 20mins (10 mins less than the usual 30mins). so, the wife saw her husband at 4:50 PM.

at this point, the husband had been walking for 50 mins, because he started walking at 4:00 PM.
_________________

press +1 Kudos to appreciate posts

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7125
Location: Pune, India
Followers: 2136

Kudos [?]: 13655 [5] , given: 222

Re: a man arrives at a train station 1 hr earlier [#permalink]

### Show Tags

04 Sep 2011, 21:25
5
KUDOS
Expert's post
1
This post was
BOOKMARKED
kuttingchai wrote:
I was not able to solve this problem, also the methods mention above didnot help, can any one explain me.
I was able to solve this problem only to the extent at

Every day
By Car:
Arrival at station : 5:00 PM
couple reach home: 5:30 PM
So time taken 30 mins

today
Car + walk
Arrival station at: 4:00 PM
Reach home: 5:10 PM
Time taken 70 mins

then how do i go ahead calculating it?

The explanation given by fluke is spot on. You don't really need to calculate anything here. If you do try that way, you will have to take tons of variables and make tons of equations... Try reasoning it out.
They arrived 20 minutes early. Why? Because his wife drove less. Why? Because she met him on the way. Why do they usually take 20 mins more? Because she takes another 10 minutes to reach the station and then 10 more minutes to drive back that same distance.
Say the train reaches at 12, the wife usually reaches the station at 12 and is 10 minutes away from the station at 11:50. This is the point where she met him today since she had to travel 10 minute distance less. Why? Because he got down at the station at 11 today and started walking. How long did he walk? At 11:50, he reached the point where his wife is 10 minutes away from the station. So he walked a total of 50 minutes.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

Senior Manager
Joined: 13 May 2013
Posts: 472
Followers: 3

Kudos [?]: 160 [0], given: 134

Re: Each day a man meets his wife at the train station after [#permalink]

### Show Tags

03 Aug 2013, 12:55
Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 20 minutes earlier than usual. How much time did the man spend walking?

Lets say normally he get's in at 6 and they get home at 7. Today, he get's in at 5 and they get in at 6:40. However, because the man starts walking and moves closer to his home when his wife picks him up, the amount of time he spends in the car with her will not be an hour as usual, but less. He travels (walk+car) for a total of 100 minutes. If they arrive 20 minutes earlier than usual, that means the distance (and time) his wife covered is less because his walking reduced the distance between himself and home. His wife normally drives an hour. (as established, she picks him up at 6 and arrives at 7)...From here on, I am lost. How does the fact that they arrived 20 minutes earlier tell us that he walked for 50 minutes? If the question said that the round trip took 20 minutes less than normal then I could understand how each leg of the trip was reduced by 10 minutes, but the question says that it took them 20 minutes less time to get home from normal when the husband got picked up at his closer-to-home distance.

This problem is without question one of the hardest and most frustrating I have encountered. I don't understand why we care about the round trip of the wife. If it normally takes him and her one hour to get home and today they arrived 20 minutes earlier doesn't that apply just to the leg of the trip? I could see this, perhaps, if her trip was reduced by 20 minutes (i.e. the round trip) but its only the second half which the two of them both travel that is reduced by 20 minutes. This means that the round trip would be reduced by 40 minutes but again, how does this help us?

Heeeeeeeeelp!

A. 45 minutes
B. 50 minutes
C. 40 minutes
D. 55 minutes
E. 35 minutes
Senior Manager
Joined: 17 Dec 2012
Posts: 447
Location: India
Followers: 26

Kudos [?]: 395 [2] , given: 14

Re: Each day a man meets his wife at the train station after [#permalink]

### Show Tags

03 Aug 2013, 17:14
2
KUDOS
WholeLottaLove wrote:
Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 20 minutes earlier than usual. How much time did the man spend walking?

Lets say normally he get's in at 6 and they get home at 7. Today, he get's in at 5 and they get in at 6:40. However, because the man starts walking and moves closer to his home when his wife picks him up, the amount of time he spends in the car with her will not be an hour as usual, but less. He travels (walk+car) for a total of 100 minutes. If they arrive 20 minutes earlier than usual, that means the distance (and time) his wife covered is less because his walking reduced the distance between himself and home. His wife normally drives an hour. (as established, she picks him up at 6 and arrives at 7)...From here on, I am lost. How does the fact that they arrived 20 minutes earlier tell us that he walked for 50 minutes? If the question said that the round trip took 20 minutes less than normal then I could understand how each leg of the trip was reduced by 10 minutes, but the question says that it took them 20 minutes less time to get home from normal when the husband got picked up at his closer-to-home distance.

This problem is without question one of the hardest and most frustrating I have encountered. I don't understand why we care about the round trip of the wife. If it normally takes him and her one hour to get home and today they arrived 20 minutes earlier doesn't that apply just to the leg of the trip? I could see this, perhaps, if her trip was reduced by 20 minutes (i.e. the round trip) but its only the second half which the two of them both travel that is reduced by 20 minutes. This means that the round trip would be reduced by 40 minutes but again, how does this help us?

Heeeeeeeeelp!

1. Let the wife drive for y minutes till the husband starts from the station.
2. Once the husband starts the let the wife drive for x minutes till she meets him. Thus the husband also walks for x minutes.
3. After meeting her husband the wife drives back for the same duration of x+y minutes
4. The wife totally traveled for 2x + 2y minutes.
5. We actually know that they arrived 20 minutes earlier.
6. If y=0. meaning that the wife had started at the same time as the husband i.e, say at 5 then it means she normally comes at 6 and hence takes 1 hr to travel to the station and totally 2 hrs to and fro. but that day she traveled 20 min less so the duration of the travel is 100 minutes
7. Equating (4) and (6), 2x+2y=100 or x=50 since y=0, we have x is 50 minutes or the man walked for 50 minutes

Note: whatever value we plug in for y, we will get x as only 50 because the difference between the RHS and 2y is always 100. y can also be negative i.e., the wife starts after the husband starts.
_________________

Srinivasan Vaidyaraman
Sravna
http://www.sravnatestprep.com

Classroom and Online Coaching

Last edited by SravnaTestPrep on 04 Aug 2013, 02:27, edited 4 times in total.
Senior Manager
Joined: 17 Dec 2012
Posts: 447
Location: India
Followers: 26

Kudos [?]: 395 [1] , given: 14

Re: Each day a man meets his wife at the train station after [#permalink]

### Show Tags

04 Aug 2013, 01:28
1
KUDOS
Please note that I have edited my reply as I had misread the problem earlier. I apologize for that.
_________________

Srinivasan Vaidyaraman
Sravna
http://www.sravnatestprep.com

Classroom and Online Coaching

Senior Manager
Joined: 13 May 2013
Posts: 472
Followers: 3

Kudos [?]: 160 [1] , given: 134

Re: Each day a man meets his wife at the train station after [#permalink]

### Show Tags

04 Aug 2013, 11:09
1
KUDOS
Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 20 minutes earlier than usual. How much time did the man spend walking?

Thanks for the reply!

Tell me, does the following line of thinking make sense?

Let's say normally the man get's in at 6 and is home by 7. The wife takes one hour to get from home to the station meaning the round trip is 120 minutes. Today, he get's in at 5 and is home by 6:40. The wife, unaware of her husband getting in earlier, still leaves at 5 PM (so she gets to the station by 6) but today is home by 6:40 meaning she spent a total of 100 minutes on the road both ways, not 120 minutes. If she is making a round trip, this means she would turn around at a point that is 10 minutes closer to home than normal meaning she drove a total of 50 minutes from home to where her husband was and another 50 minutes from where her husband was to home. If she leaves at her normal time of 5PM and she drives a total of 100 minutes to and from the station she would have traveled 50 minutes before she met him which would be at 5:50PM That means he would have walked 50 minutes (from 5:00 to 5:50 then spent another 50 minutes in the car with his wife (from 5:50 to 6:40) before he got home.

I feel physically and mentally drained after this problem!
Senior Manager
Joined: 17 Dec 2012
Posts: 447
Location: India
Followers: 26

Kudos [?]: 395 [2] , given: 14

Re: Each day a man meets his wife at the train station after [#permalink]

### Show Tags

04 Aug 2013, 18:03
2
KUDOS
WholeLottaLove wrote:
Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 20 minutes earlier than usual. How much time did the man spend walking?

Thanks for the reply!

Tell me, does the following line of thinking make sense?

Let's say normally the man get's in at 6 and is home by 7. The wife takes one hour to get from home to the station meaning the round trip is 120 minutes. Today, he get's in at 5 and is home by 6:40. The wife, unaware of her husband getting in earlier, still leaves at 5 PM (so she gets to the station by 6) but today is home by 6:40 meaning she spent a total of 100 minutes on the road both ways, not 120 minutes. If she is making a round trip, this means she would turn around at a point that is 10 minutes closer to home than normal meaning she drove a total of 50 minutes from home to where her husband was and another 50 minutes from where her husband was to home. If she leaves at her normal time of 5PM and she drives a total of 100 minutes to and from the station she would have traveled 50 minutes before she met him which would be at 5:50PM That means he would have walked 50 minutes (from 5:00 to 5:50 then spent another 50 minutes in the car with his wife (from 5:50 to 6:40) before he got home.

I feel physically and mentally drained after this problem!

Yes, exactly.

I think this is a very difficult problem and I am sure will not be asked in the actual exam.
_________________

Srinivasan Vaidyaraman
Sravna
http://www.sravnatestprep.com

Classroom and Online Coaching

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13459
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: a man arrives at a train station 1 hr earlier [#permalink]

### Show Tags

21 Aug 2014, 14:21
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13459
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: Each day a man meets his wife at the train station after [#permalink]

### Show Tags

02 Sep 2015, 14:53
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Manager
Joined: 23 Sep 2015
Posts: 96
Concentration: General Management, Finance
GMAT 1: 680 Q46 V38
GMAT 2: 690 Q47 V38
GPA: 3.5
Followers: 0

Kudos [?]: 14 [0], given: 213

Re: Each day a man meets his wife at the train station after [#permalink]

### Show Tags

26 Oct 2015, 07:47
fluke wrote:
MBAhereIcome wrote:
Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 20 minutes earlier than usual. How much time did the man spend walking?

A) 45 minutes
B) 50 minutes
C) 40 minutes
D) 55 minutes
E) 35 minutes

This sounds like a puzzle to me. They save 20 mins driving to and fro from the meeting junction to the station, 10 mins each side. So, if the man didn't walk at all, his wife would be there in the station in 10 minutes for sure. Daily his wife picks him @ say 5PM. So, it must be 4:50(10 minutes before 5:00) when they met. The man started walking @4:00(1 hour early). He must have walked 50 minutes when they met.

Ans: "B"

Thanks this is the only explanation that made sense to me, I guess I need the time markers to comprehend it.
Senior Manager
Joined: 07 Dec 2014
Posts: 491
Followers: 3

Kudos [?]: 82 [0], given: 2

Re: Each day a man meets his wife at the train station after [#permalink]

### Show Tags

26 Oct 2015, 15:49
let T=normal arrival and pickup time
T-10 minutes=today's pickup time
T-60 minutes=today's arrival time
(T-10)-(T-60)=50 minutes walking time
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13459
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: Each day a man meets his wife at the train station after [#permalink]

### Show Tags

21 Dec 2016, 21:33
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Intern
Joined: 09 Nov 2015
Posts: 5
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: Each day a man meets his wife at the train station after [#permalink]

### Show Tags

22 Dec 2016, 23:59
This problem is not as complicated as it appears at first glance.

S-----------M------------------------------H

In the diagram above, S denotes the station, H the house and M the point where the man meets his wife. Let us assume that the man's usual arrival time at the station is 6 pm. We are told that, on this occasion, he arrives 1 hr earlier and sets off immediately for home which means he starts walking at 5 pm. Now, if we can find out at what time he meets his wife we will have our answer.
Now let us turn our attention to the wife. It is not important at what time she sets off so we need not make any assumption regarding that. What is important is that we grasp the fact that she, not knowing that her husband had arrived at the station 1 hr early, sets off in time to reach the station at 6 pm. The time of her departure, of course, depends on the distance from the house to the station and the speed of the car but we need not go into all that. She picks up her husband at Pt M, turns back and reaches home 20 mins earlier that usual. Now, this is the most significant piece of information: by not going all the way to the station and back, they save 20 mins which means it would have taken her 20 mins to drive from M to S and back to M which means it would have taken her 10 mins to drive from M to S. Since she had timed her trip so as to arrive at the station at 6 pm, she reached M 10 mins before 6 pm, i.e. at 5:50 pm. Her husband, who started walking at 5 pm, also reaches M and is picked up by his wife, at 5:50 pm. So he walks for 50 mins.
I hope I have been able to explain it clearly. Let me just say that this is one of the most interesting problems I have ever encountered and I thank the person who posted it.
Re: Each day a man meets his wife at the train station after   [#permalink] 22 Dec 2016, 23:59
Similar topics Replies Last post
Similar
Topics:
2 A man, his wife, and his four daughters are being seated around a rect 2 28 Dec 2016, 00:51
8 The ratio of the present ages of a man and his wife is 5 : 4 6 19 Feb 2016, 09:38
32 A train after traveling at 50kmph meets with an accident and then 20 06 Dec 2014, 23:43
7 A train travels from station A to station B. If it travels 8 16 Sep 2012, 01:48
4 A man after travelling 50 kms meets his friend who counsels him to go 10 21 Sep 2009, 11:56
Display posts from previous: Sort by

# Each day a man meets his wife at the train station after

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.