One hour after Yolanda started walking from X to Y, a distan : 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, 11:48

### 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

# One hour after Yolanda started walking from X to Y, a distan

Author Message
TAGS:

### Hide Tags

Director
Joined: 03 Jul 2003
Posts: 652
Followers: 3

Kudos [?]: 91 [5] , given: 0

One hour after Yolanda started walking from X to Y, a distan [#permalink]

### Show Tags

28 Jan 2004, 15:43
5
KUDOS
8
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

76% (02:31) correct 24% (01:41) wrong based on 457 sessions

### HideShow timer Statistics

One hour after Yolanda started walking from X to Y, a distance of 45 miles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was 3 miles per hour and Bobт's was 4 miles per hour, how many miles had Bob walked when they met?

(A) 24
(B) 23
(C) 22
(D) 21
(E) 19.5
[Reveal] Spoiler: OA

Last edited by Bunuel on 19 Sep 2013, 00:09, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
SVP
Joined: 30 Oct 2003
Posts: 1793
Location: NewJersey USA
Followers: 5

Kudos [?]: 98 [4] , given: 0

### Show Tags

29 Jan 2004, 11:04
4
KUDOS
When bob starts walking The distance between them is 45-3 = 42 miles
If they meet at time t then Yolanda would have walked
X/3 minutes and Bob would have walked (42-X)/4 mins
X/3 = (42-X)/4 so X = 18
Bob would have walked 42-18 = 24 miles.
Manager
Joined: 22 Mar 2010
Posts: 61
Followers: 1

Kudos [?]: 23 [0], given: 1

One hour after Yolanda started walking from X to Y, a distan [#permalink]

### Show Tags

18 Jul 2010, 09:52
One hour after Yolanda started walking from X to Y, a distance of 45 miles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was 3 miles per hour and Bob's was 4 miles per hour, how many miles had Bob walked when they met?

A. 24
B. 23
C. 22
D. 21
E. 19,5
Math Expert
Joined: 02 Sep 2009
Posts: 36567
Followers: 7081

Kudos [?]: 93193 [5] , given: 10553

Re: Problem Solving : Average [#permalink]

### Show Tags

18 Jul 2010, 13:44
5
KUDOS
Expert's post
3
This post was
BOOKMARKED
EnterMatrix wrote:
One hour after Yolander started walking from X to Y, a distance of 45 miles, Bob started walking along the same road from Y to X. If Yolander’s walking rate was 3 miles per hour and Bob’s was 4 miles per hour, how many miles had Bob walked when they met?
○ 24
○ 23
○ 22
○ 21
○ 19.5

When B started walking Y already has covered 3 miles out of 45, hence the distance at that time between them was 45-3=42 miles.

Combined rate of B and Y was 3+4=7 miles per hour, hence they would meet each other in 42/7=6 hours. In 6 hours B walked 6*4=24 miles.

_________________
Director
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 651
Followers: 42

Kudos [?]: 861 [1] , given: 39

Re: One hour after Yolanda started walking from X to Y, a [#permalink]

### Show Tags

30 Nov 2011, 11:48
1
KUDOS
1
This post was
BOOKMARKED
When bob starts walking The distance left between them is 45-3 = 42 miles

Time taken to meet = Distance / Relative speed
= 42/(3+4) = 6 hours

so, bob walked = 6 x 4 = 24 miles
Ans. A.
_________________

Collections:-
PSof OG solved by GC members: http://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html
DS of OG solved by GC members: http://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html
100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html

Intern
Joined: 23 May 2010
Posts: 8
Followers: 0

Kudos [?]: 0 [0], given: 1

Re: One hour after Yolanda started walking from X to Y, a [#permalink]

### Show Tags

01 Dec 2011, 03:53
3+3t+4t=45
t=6
Bob==>4*6=24
==>A
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13456
Followers: 575

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

Re: One hour after Yolanda started walking from X to Y, a [#permalink]

### Show Tags

18 Sep 2013, 17:03
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: 24 Jan 2014
Posts: 7
Followers: 1

Kudos [?]: 6 [0], given: 7

Re: One hour after Yolanda started walking from X to Y, a distan [#permalink]

### Show Tags

24 Mar 2014, 03:11
Let say they meet after x hrs.

so 3x + 4 (x-1) = 45 "As Bob started after an hour"

after solving the above equation we get answer as 24
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1858
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 47

Kudos [?]: 1931 [0], given: 193

Re: One hour after Yolanda started walking from X to Y, a distan [#permalink]

### Show Tags

27 Mar 2014, 02:12
Yolanda has already covered 3 kms out of 45

So remaining distance = 42

Time taken by both to meet at a point will be the same in the stretch of 42 kms

Bob travels distance = x
Speed = 4

Yolaondu will travel = 42 - x
Speed = 3

$$\frac{x}{4} = \frac{42-x}{3}$$

x = 24 = Answer = A
_________________

Kindly press "+1 Kudos" to appreciate

Intern
Joined: 22 Jul 2014
Posts: 22
GMAT 1: 450 Q38 V12
WE: Information Technology (Computer Software)
Followers: 0

Kudos [?]: 1 [0], given: 13

Re: One hour after Yolanda started walking from X to Y, a distan [#permalink]

### Show Tags

23 Oct 2014, 01:38
Since the speed of both are 3 and 4 , the end answer must be a multiple of both . Only 24 is present in that case.

This method might help in the worst case.
_________________

Failures are stepping stones to success !!!

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13456
Followers: 575

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

Re: One hour after Yolanda started walking from X to Y, a distan [#permalink]

### Show Tags

19 Dec 2015, 05:12
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: 25 Jan 2016
Posts: 19
Location: United States (OH)
GPA: 3.7
Followers: 0

Kudos [?]: 6 [0], given: 3

Re: One hour after Yolanda started walking from X to Y, a distan [#permalink]

### Show Tags

14 Apr 2016, 12:19
can someone tell me what I am missing please. I read the explanations, and still am not getting it. Why isn't it 12miles (i Know not an option)

Y=3 after 1st hour, 6 after 2 hours, 9 after 3 hours, 12 after 4 hours.
bob=4 after one, 8 after 2 ect

y has a 3 mile head start so..

y=3, B=0
y=6, b=4
y=9, B=8
y=12, b=12??

Math Expert
Joined: 02 Sep 2009
Posts: 36567
Followers: 7081

Kudos [?]: 93193 [0], given: 10553

Re: One hour after Yolanda started walking from X to Y, a distan [#permalink]

### Show Tags

15 Apr 2016, 01:08
ross14 wrote:
can someone tell me what I am missing please. I read the explanations, and still am not getting it. Why isn't it 12miles (i Know not an option)

Y=3 after 1st hour, 6 after 2 hours, 9 after 3 hours, 12 after 4 hours.
bob=4 after one, 8 after 2 ect

y has a 3 mile head start so..

y=3, B=0
y=6, b=4
y=9, B=8
y=12, b=12??

The distance between X and Y is 45 miles so the combined distance covered also must be 45 miles.

y=3, B=0
y=6, b=4
y=9, B=8
y=12, b=12
y=15, b=16
y=18, b=20
y=21, b=24 --> 21 + 24 = 45.

Hope it's clear.
_________________
Re: One hour after Yolanda started walking from X to Y, a distan   [#permalink] 15 Apr 2016, 01:08
Similar topics Replies Last post
Similar
Topics:
8 One hour after Yolanda started walking from X to Y, a distance of 45 m 3 10 Sep 2014, 06:56
1 One hour before John started walking from P to Q, a distance 7 15 Apr 2014, 14:28
16 Lexy walks 5 miles from point A to point B in one hour, then 8 21 Jul 2013, 13:16
4 One hour after Matthew started waking from x to y, a distanc 13 08 Jan 2013, 13:45
9 One hour after Adrienne started walking the 60 miles from X 11 26 Dec 2010, 07:54
Display posts from previous: Sort by