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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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

Show Tags

09 Feb 2011, 14:16

3

This post received KUDOS

2

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

25% (medium)

Question Stats:

73% (02:05) correct
27% (01:15) wrong based on 405 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

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.
_________________

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

Show Tags

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.

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
_________________

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).

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.

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

Show Tags

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.

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

Show Tags

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.

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.

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

Show Tags

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.
_________________

Happy New Year everyone! Before I get started on this post, and well, restarted on this blog in general, I wanted to mention something. For the past several months...

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Happy 2017! Here is another update, 7 months later. With this pace I might add only one more post before the end of the GSB! However, I promised that...

The words of John O’Donohue ring in my head every time I reflect on the transformative, euphoric, life-changing, demanding, emotional, and great year that 2016 was! The fourth to...