It is currently 15 Dec 2017, 21:38

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Train A leaves the station traveling at 30 miles per hour.

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

Hide Tags

3 KUDOS received
Intern
Intern
avatar
Joined: 09 Feb 2011
Posts: 15

Kudos [?]: 58 [3], given: 0

Train A leaves the station traveling at 30 miles per hour. [#permalink]

Show Tags

New post 09 Feb 2011, 14:16
3
This post received
KUDOS
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

72% (01:09) correct 28% (01:14) wrong based on 505 sessions

HideShow timer Statistics

36. Train A leaves the station traveling at 30 miles per hour. Two hours later train В leaves the same station traveling in the same direction at 40 miles per hour. How far from the station was train A overtaken by train B?
(A) 180
(B) 240
(C) 270
(D) 300
(E) 320
[Reveal] Spoiler: OA

Kudos [?]: 58 [3], given: 0

Expert Post
5 KUDOS received
Veritas Prep GMAT Instructor
User avatar
G
Joined: 16 Oct 2010
Posts: 7800

Kudos [?]: 18137 [5], given: 236

Location: Pune, India
Re: Train A leaves the station traveling at 30 miles per hour. [#permalink]

Show Tags

New post 09 Feb 2011, 17:56
5
This post received
KUDOS
Expert's post
8
This post was
BOOKMARKED
loveparis wrote:
36. Train A leaves the station traveling at 30 miles per hour. Two hours later train В leaves the same station traveling in the same direction at 40 miles per hour. How far from the station was train A overtaken by train B?
(A) 180
(B) 240
(C) 270
(D) 300
(E) 320


This question tests you on relative speed.
Train A leaves the station traveling at 30 miles/hr. So it covers 30*2 = 60 miles in 2 hrs. After 2 hrs, train B leaves the station. When train B leaves the station, distance between train A and train B is 60 miles since train A has already traveled 60 miles.
Now train B needs to cover up this distance between them by traveling faster than train A. In one hour, train B covers 10 miles more than train A (because train B's speed is 10 miles/hr more than train A's speed). So train B will cover the extra 60 miles in 6 hours.
Train A had traveled for 2 + 6 = 8 hrs before it was overtaken by train B. Hence, it had covered a distance of 8*30 = 240 miles.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Kudos [?]: 18137 [5], given: 236

4 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1849

Kudos [?]: 2792 [4], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Train A leaves the station traveling at 30 miles per hour. [#permalink]

Show Tags

New post 04 Mar 2015, 23:55
4
This post received
KUDOS
Answer = B = 240

Refer diagram below:

Attachment:
train.png
train.png [ 4.21 KiB | Viewed 15770 times ]


Train A has already travelled 60 miles when Train B starts

Say total distance = x from originating point where both trains meet

Time equation would be as follows:

\(\frac{x-60}{30} = \frac{x}{40}\)

x = 240
_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2792 [4], given: 193

Manager
Manager
avatar
Joined: 07 Jun 2010
Posts: 83

Kudos [?]: 44 [0], given: 0

Re: Train A leaves the station traveling at 30 miles per hour. [#permalink]

Show Tags

New post 09 Feb 2011, 16:03
1
This post was
BOOKMARKED
When train B catches train A, their location will be the same, and since they left the same point, their distance traveled will be the same.

RT = RT

30mph(T+2) = 40mph(T)

Solve for T. They meet after 6 hours. Plug 6 into either equation and get 240 miles

Kudos [?]: 44 [0], given: 0

Intern
Intern
avatar
Joined: 15 Nov 2014
Posts: 21

Kudos [?]: 2 [0], given: 27

Re: Train A leaves the station traveling at 30 miles per hour. [#permalink]

Show Tags

New post 03 Mar 2015, 15:00
Hi , Can I know what level of question is that. Is it 600? Thanks.

VeritasPrepKarishma wrote:
loveparis wrote:
36. Train A leaves the station traveling at 30 miles per hour. Two hours later train В leaves the same station traveling in the same direction at 40 miles per hour. How far from the station was train A overtaken by train B?
(A) 180
(B) 240
(C) 270
(D) 300
(E) 320


This question tests you on relative speed.
Train A leaves the station traveling at 30 miles/hr. So it covers 30*2 = 60 miles in 2 hrs. After 2 hrs, train B leaves the station. When train B leaves the station, distance between train A and train B is 60 miles since train A has already traveled 60 miles.
Now train B needs to cover up this distance between them by traveling faster than train A. In one hour, train B covers 10 miles more than train A (because train B's speed is 10 miles/hr more than train A's speed). So train B will cover the extra 60 miles in 6 hours.
Train A had traveled for 2 + 6 = 8 hrs before it was overtaken by train B. Hence, it had covered a distance of 8*30 = 240 miles.

Kudos [?]: 2 [0], given: 27

Expert Post
Veritas Prep GMAT Instructor
User avatar
G
Joined: 16 Oct 2010
Posts: 7800

Kudos [?]: 18137 [0], given: 236

Location: Pune, India
Re: Train A leaves the station traveling at 30 miles per hour. [#permalink]

Show Tags

New post 03 Mar 2015, 19:59
saraafifiahmed wrote:
Hi , Can I know what level of question is that. Is it 600? Thanks.

VeritasPrepKarishma wrote:
loveparis wrote:
36. Train A leaves the station traveling at 30 miles per hour. Two hours later train В leaves the same station traveling in the same direction at 40 miles per hour. How far from the station was train A overtaken by train B?
(A) 180
(B) 240
(C) 270
(D) 300
(E) 320


This question tests you on relative speed.
Train A leaves the station traveling at 30 miles/hr. So it covers 30*2 = 60 miles in 2 hrs. After 2 hrs, train B leaves the station. When train B leaves the station, distance between train A and train B is 60 miles since train A has already traveled 60 miles.
Now train B needs to cover up this distance between them by traveling faster than train A. In one hour, train B covers 10 miles more than train A (because train B's speed is 10 miles/hr more than train A's speed). So train B will cover the extra 60 miles in 6 hours.
Train A had traveled for 2 + 6 = 8 hrs before it was overtaken by train B. Hence, it had covered a distance of 8*30 = 240 miles.


I would say a bit higher - 650-660
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Kudos [?]: 18137 [0], given: 236

Expert Post
EMPOWERgmat Instructor
User avatar
P
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 10412

Kudos [?]: 3694 [0], given: 173

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: Train A leaves the station traveling at 30 miles per hour. [#permalink]

Show Tags

New post 03 Mar 2015, 23:05
Hi saraafifiahmed,

This question is a rare version of a "combined rate" question that is sometimes called a "chase down" question (and combined rate questions themselves a rare concept on the GMAT - you'll probably see just one question on it on Test Day). This specific prompt is a relatively easy variation (the speeds, time and answer choices are all round numbers), but the overall concept tends to fall at the higher end of the difficulty spectrum (even though this one is about as easy as the concept gets). You shouldn't worry too much about the difficulty level though - it's not going to be a big point gainer or point loser for you on the Official GMAT (if it shows up at all).

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Kudos [?]: 3694 [0], given: 173

Senior Manager
Senior Manager
User avatar
Status: Math is psycho-logical
Joined: 07 Apr 2014
Posts: 437

Kudos [?]: 144 [0], given: 169

Location: Netherlands
GMAT Date: 02-11-2015
WE: Psychology and Counseling (Other)
Train A leaves the station traveling at 30 miles per hour. [#permalink]

Show Tags

New post 06 Mar 2015, 05:04
Using the RTD chart we get:

..........R........T.........D
A........30.......T............
B........40......T-2..........

So, since we want the distance to be the same, we equate the 2 and find time:

30T = 40 (T-2)
30T = 40T - 80
80 = 10T
T=8

Substituting 8 in the equation for disrance for A we get:
30T = 30*8 = 240.

So, ANS B.

Kudos [?]: 144 [0], given: 169

Manager
Manager
User avatar
Joined: 03 Jan 2015
Posts: 68

Kudos [?]: 42 [0], given: 224

Concentration: Strategy, Marketing
WE: Research (Pharmaceuticals and Biotech)
GMAT ToolKit User
Re: Train A leaves the station traveling at 30 miles per hour. [#permalink]

Show Tags

New post 16 Mar 2015, 16:38
Hi all,

Is the following solution/logic correct? Please comment.

Time for which A travels = T + 2
Time for which B travels = T
Relative speed = 10 mph
Distance A travels in 2 hrs = 60 m

Hence, the time in which the gap between A and B "shrinks":

60 = 10 (T+2)
i.e. T = 4 hrs = when A and B meet

In 4 hrs, A traveled 180 m + initial 60 m = 240 m = ANSWER

TO

Kudos [?]: 42 [0], given: 224

Expert Post
EMPOWERgmat Instructor
User avatar
P
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 10412

Kudos [?]: 3694 [0], given: 173

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: Train A leaves the station traveling at 30 miles per hour. [#permalink]

Show Tags

New post 16 Mar 2015, 20:13
Hi thorinoakenshield,

Yes, your logic is correct - it is a little 'thicker' than it needs to be, but that's okay as long as you're comfortable with the 'steps' involved.

In real basic terms, Train A has a 60 mile "head start" when Train B gets moving. Since the speeds of the two trains are 30mph and 40mph, Train B will "make up" 10 miles every hour.

60 miles = (10mph)(T)
6 hours = T

So, 6 hours after it starts, Train B will catch up to Train A.

(6 hours)(40mph) = 240 miles

Final Answer:
[Reveal] Spoiler:
B


GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Kudos [?]: 3694 [0], given: 173

Intern
Intern
avatar
Joined: 25 Oct 2013
Posts: 21

Kudos [?]: 9 [0], given: 89

Re: Train A leaves the station traveling at 30 miles per hour. [#permalink]

Show Tags

New post 16 Jul 2015, 23:53
The question: What is the distance from the station where 2 trains meet?

* The speed difference between train A and B is 40 - 30 = 10mph, meaning in every hour,train B covers 10 miles compared to train A.
* In 2 hours train A covers 30mph*2h = 60miles. This is also the distance between 2 trains. Therefore, train B needs to go 60miles/10mph = 6hours to catch up train A.
* In 6 hours, train B goes 40mph * 6hours = 240 miles = where 2 trains meet.

Kudos [?]: 9 [0], given: 89

Intern
Intern
avatar
Joined: 25 Oct 2013
Posts: 21

Kudos [?]: 9 [0], given: 89

Re: Train A leaves the station traveling at 30 miles per hour. [#permalink]

Show Tags

New post 23 Jul 2015, 07:23
Question: What is the distance where B passes A?

A and B go same direction.
In 2 hours, A go 2h* 30mph = 60 miles.B starts after A goes 2 hours. So the gap between A and B is 60 miles. (1)
B goes faster than A 10mph, meaning in each hour the gap shrinks 10 mile. (2)
From (1) and (2), the total gap = 0 in 60miles/10 miles = 6 hours, meaning B catches A in 6 hours.
Therefore, the distance where A and B meet is 6 hours * 40 mph = 240 miles.

Kudos [?]: 9 [0], given: 89

Expert Post
SVP
SVP
User avatar
G
Joined: 08 Jul 2010
Posts: 1857

Kudos [?]: 2408 [0], given: 51

Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: Train A leaves the station traveling at 30 miles per hour. [#permalink]

Show Tags

New post 23 Jul 2015, 22:24
loveparis wrote:
36. Train A leaves the station traveling at 30 miles per hour. Two hours later train В leaves the same station traveling in the same direction at 40 miles per hour. How far from the station was train A overtaken by train B?
(A) 180
(B) 240
(C) 270
(D) 300
(E) 320


Relative Speed = 40 - 30 = 10 Miles per hour
Relative Distance to be overcome = Distance travelled by A in 2 hours before B started = 2*30 = 60 Miles

Time for B to overtake A = Relative Distance / Relative Speed = 60 / 10 = 6 hours

Distance Travelled by B in 6 hours = 40*6 = 240 Miles.

Answer: Option B
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Kudos [?]: 2408 [0], given: 51

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 14832

Kudos [?]: 288 [0], given: 0

Premium Member
Re: Train A leaves the station traveling at 30 miles per hour. [#permalink]

Show Tags

New post 09 Sep 2016, 22:09
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 288 [0], given: 0

Manager
Manager
User avatar
B
Joined: 15 Jan 2011
Posts: 109

Kudos [?]: 181 [0], given: 15

Re: Train A leaves the station traveling at 30 miles per hour. [#permalink]

Show Tags

New post 03 Sep 2017, 05:35
for me it is easier to do the straightforward math, since I have problems with the relative speed concept :-)

in 2 hours train A travels 60 mi.
So train B must cover those 60 mi and the distance the train A covers while train B is busy with the first 60 mi

40t=60+30t, t=6. In 6 hours B will travel 40*6=240 miles.

Kudos [?]: 181 [0], given: 15

Re: Train A leaves the station traveling at 30 miles per hour.   [#permalink] 03 Sep 2017, 05:35
Display posts from previous: Sort by

Train A leaves the station traveling at 30 miles per hour.

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.