Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 19 May 2013, 04:42
Customize  |  Hide

Search
Register
New posts
Unanswered

A train travels from station A to station B. If it travels

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
Manager
Manager
User avatar
Status: Fighting hard
Joined: 04 Jul 2011
Posts: 79
Schools: Kellogg '15, ISB '14 (S)
GMAT Date: 10-01-2012
Followers: 2

Kudos [?]: 10 [0], given: 84

A train travels from station A to station B. If it travels [#permalink] New post 16 Sep 2012, 02:48
00:00

Question Stats:

80% (02:25) correct 20% (01:15) wrong based on 6 sessions
A train travels from station A to station B. If it travels at a speed of 100 miles per hour, it ends up reaching the station 30 minutes late. If it travels at 120 miles per hour, it reaches the station 15 minutes early. What is the amount of time that the train is scheduled to take for the journey and what is the distance between the stations?

(A) 2 hours, 225 miles
(B) 3 hours, 350 miles
(C) 4 hours, 450 miles
(D) 5 hours, 550 miles
(E) 6 hours, 650 miles
[Reveal] Spoiler: OA

_________________

I will rather do nothing than be busy doing nothing - Zen saying


Last edited by Bunuel on 16 Sep 2012, 02:55, edited 1 time in total.
Renamed the topic.
Senior Manager
Senior Manager
Joined: 15 Jun 2010
Posts: 361
Schools: IE'14, ISB'14, Kellogg'15
WE 1: 7 Yrs in Automobile (Commercial Vehicle industry)
Followers: 4

Kudos [?]: 80 [0], given: 50

GMAT Tests User Reviews Badge
Re: A train travels from station A to station B. If it travels [#permalink] New post 16 Sep 2012, 03:05
Pansi wrote:
A train travels from station A to station B. If it travels at a speed of 100 miles per hour, it ends up reaching the station 30 minutes late. If it travels at 120 miles per hour, it reaches the station 15 minutes early. What is the amount of time that the train is scheduled to take for the journey and what is the distance between the stations?

(A) 2 hours, 225 miles
(B) 3 hours, 350 miles
(C) 4 hours, 450 miles
(D) 5 hours, 550 miles
(E) 6 hours, 650 miles


Let t be the usual time and x be the distance between A & B. So we need to find t and Distance x. The question gives us 2 combinations of speed & time, but the distance remains the same for both condition.

Equation 1 - x= 100 (t+.5) (converted 30 mins into hr) added .5 hrs because it is late or took more time than usual.
Equation 2 - x= 120 (t-.25) subtracted .25 hrs because it is early or took less time than usual.

Now equating 1 & 2 we get 100(t+.5)=120(t-.25)
=> 10t +5 = 12t - 3
=> 2t=8 => t= 4 hrs.
Hence x= 100(4+.5) =>100 X 4.5 => 450 miles.

Hence correct answer C.
_________________

Regards
SD
-----------------------------
Press Kudos if you like my post.
Debrief 610-540-580-710(Long Journey): from-600-540-580-710-finally-achieved-in-4th-attempt-142456.html

Director
Director
User avatar
Joined: 22 Mar 2011
Posts: 608
WE: Science (Education)
Followers: 43

Kudos [?]: 266 [0], given: 43

GMAT Tests User
Re: A train travels from station A to station B. If it travels [#permalink] New post 16 Sep 2012, 05:06
Pansi wrote:
A train travels from station A to station B. If it travels at a speed of 100 miles per hour, it ends up reaching the station 30 minutes late. If it travels at 120 miles per hour, it reaches the station 15 minutes early. What is the amount of time that the train is scheduled to take for the journey and what is the distance between the stations?

(A) 2 hours, 225 miles
(B) 3 hours, 350 miles
(C) 4 hours, 450 miles
(D) 5 hours, 550 miles
(E) 6 hours, 650 miles


Let D be the distance between the two stations A and B.
We can write directly the equation \frac{D}{100}=\frac{D}{120}+\frac{3}{4}, because at speed 100mph the train is late by half an hour, at 120mph is early by a quarter of an hour,
so the difference between the two times is +0.5 - (-0.25) = 0.75.
Solving for D we obtain D=450 (now we already know that the answer is C) and the time is 450/100 - 0.5 = 4 hours.

Answer C
_________________

PhD in Applied Mathematics
Love GMAT Quant questions and running.

Re: A train travels from station A to station B. If it travels   [#permalink] 16 Sep 2012, 05:06
    Similar topics Author Replies Last post
Similar
Topics:
 New posts A train travels from a station B to station C using path P, withme 2 17 Jan 2007, 13:45
New posts Train A leaves the station at 5PM and travels North at the leeye84 5 13 Jul 2007, 12:19
New posts A train traveled from station X to station Y at a constant singh_amit19 4 24 Sep 2007, 13:15
New posts A train traveled from station X to station Y at a constant seofah 2 09 Nov 2008, 08:10
New posts 1 EXPERTS_POSTS_IN_THIS_TOPIC Train A leaves the station traveling at 30 miles per hour. loveparis 2 09 Feb 2011, 15:16
Display posts from previous: Sort by

A train travels from station A to station B. If it travels

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: Bunuel, VeritasPrepKarishma, IanStewart

Search for:


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

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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com