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# Mr.Sam takes 18 hours to go by train to a certain city and return by

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Manager
Joined: 25 Jan 2010
Posts: 106
Location: Calicut, India
Mr.Sam takes 18 hours to go by train to a certain city and return by  [#permalink]

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10 Aug 2011, 19:48
00:00

Difficulty:

45% (medium)

Question Stats:

67% (01:07) correct 33% (01:48) wrong based on 81 sessions

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Mr.Sam takes 18 hours to go by train to a certain city and return by car. He loses 4 hours if he goes both ways by train. How lng would he have taken if he had traveled by car in both ways?

A) 22 hrs
B) 18 hrs
C) 16 hrs
D) 20 hrs
E) 14 hrs

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Manager
Status: Still Struggling
Joined: 03 Nov 2010
Posts: 126
Location: India
GMAT Date: 10-15-2011
GPA: 3.71
WE: Information Technology (Computer Software)
Re: Mr.Sam takes 18 hours to go by train to a certain city and return by  [#permalink]

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10 Aug 2011, 20:35
1
IMO E.

Let the distance one side be D
speed of train = x
speed of car = y

from 1st stmnt,
18 = (D/x) + (D/y)....time = distance/ speed

from 2nd stmnt,
22 = (D/x) + (D/x) = (2D/x)

solving, both the equations, we get D/y =7
now this is one side...total time = to and fro = 7+7 = 14hrs..
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Re: Mr.Sam takes 18 hours to go by train to a certain city and return by  [#permalink]

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11 Aug 2011, 00:40

Lets do it without the equations.

Going one way by train and one way by car, he takes 18 hours.
Going both ways by train, he takes 4 hours more => The train takes 4 hours more one way
Therefore travelling both ways by car, he takes 4 hours less than 18
=> He takes 18-4 = 14 hours.
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Re: Mr.Sam takes 18 hours to go by train to a certain city and return by  [#permalink]

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16 Oct 2017, 07:08
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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).

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Re: Mr.Sam takes 18 hours to go by train to a certain city and return by &nbs [#permalink] 16 Oct 2017, 07:08
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