It is currently 19 Oct 2017, 22:55

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

Two trains continuously travel between Washington DC and Baltimore

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

Hide Tags

Manager
Manager
avatar
B
Joined: 20 Jun 2016
Posts: 52

Kudos [?]: 6 [0], given: 167

Two trains continuously travel between Washington DC and Baltimore [#permalink]

Show Tags

New post 09 Aug 2017, 20:16
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

53% (02:29) correct 47% (02:36) wrong based on 45 sessions

HideShow timer Statistics

Two trains continuously travel between Washington DC and Baltimore, which is 120 miles away. They start simultaneously, train A at Washington and train B at Baltimore, and run at 30 and 90 mph respectively. The station turnaround times are negligible. What is the distance between the point where the trains meet for the first time and the point where they meet for the second time?

0
30 miles
60 miles
90 miles
120 miles
[Reveal] Spoiler: OA

_________________

Life is a challenge face it.

Kudos [?]: 6 [0], given: 167

Manager
Manager
avatar
B
Joined: 20 Jun 2016
Posts: 52

Kudos [?]: 6 [0], given: 167

Re: Two trains continuously travel between Washington DC and Baltimore [#permalink]

Show Tags

New post 09 Aug 2017, 20:18
Bunuel please throw some light on this.
_________________

Life is a challenge face it.

Kudos [?]: 6 [0], given: 167

Manager
Manager
avatar
B
Joined: 30 Mar 2017
Posts: 69

Kudos [?]: 18 [0], given: 11

Re: Two trains continuously travel between Washington DC and Baltimore [#permalink]

Show Tags

New post 09 Aug 2017, 20:34
The answer should be B
30 miles
The first time they meet, it will be in exactly an hour , as train A will have covered 30 miles and train B 90 miles. In total covering complete 120 miles of distance between them. This point will be 30 miles off Washington.
Now in the next our, train A will cover 30 miles towards Baltimore(same direction) and 60miles from Washington. And train B will reach Washington, and turn back and cover 60 additional miles while going back towards Baltimore. So effectively it would also be at 60 miles from Washington , same as train B.
So the first meeting point is 30 miles from Washington, and the next one is 60 miles.
Difference is 30 miles.

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app

Kudos [?]: 18 [0], given: 11

BSchool Forum Moderator
User avatar
P
Joined: 26 Feb 2016
Posts: 1454

Kudos [?]: 594 [0], given: 16

Location: India
Concentration: General Management, Leadership
WE: Sales (Retail)
Premium Member CAT Tests
Re: Two trains continuously travel between Washington DC and Baltimore [#permalink]

Show Tags

New post 09 Aug 2017, 20:41
Hi Suryangshu,

Please find the detailed solution
Given:
The distance between the stations is 120 miles.
Also, train A leaving from W to B is travelling at 30 mph
and train B leaving from B to W is travelling at 90 mph

Relative speed of the trains is 120 mph(since they are travelling in opposite direction)

Hence, they meet for the first time in an hour, as time = distance/speed(relative) = 120/120 = 1
where train A travels 30 miles and train B travels 90 miles. So the point of meeting is 30 miles away from station W.

During the 2nd hour, train A travels another 30 miles towards station W,
and train B after travelling to station W, moves in the direction of station B and will move 60 miles towards it.
They meet again for the second time. This time, however the point of meeting is 60 miles away from station W.

Therefore the distance between the trains meeting for the first time and the second time is 30 miles(Option B)

Hope that helps!
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

Class of 2020: Rotman Thread | Schulich Thread
Class of 2019: Sauder Thread

Kudos [?]: 594 [0], given: 16

Re: Two trains continuously travel between Washington DC and Baltimore   [#permalink] 09 Aug 2017, 20:41
Display posts from previous: Sort by

Two trains continuously travel between Washington DC and Baltimore

  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®.