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

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cleetus
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Mr.Sam takes 18 hours to go by train to a certain city and return by [#permalink] New post   10 Aug 2011, 19:48
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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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E
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Re: Mr.Sam takes 18 hours to go by train to a certain city and return by [#permalink] New post   10 Aug 2011, 20:35
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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] New post   11 Aug 2011, 00:40
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The answer is (E).

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] New post   16 Apr 2019, 17:41
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cleetus wrote:
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



Letting t = the one-way time by train and c = the one-way time by car, we can create the equations:

t + c = 18

and

2t = 22

t = 11

Thus, c = 18 - 11 = 7, so both ways by car would take 14 hours.

Answer: E
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Re: Mr.Sam takes 18 hours to go by train to a certain city and return by [#permalink] New post   03 May 2023, 08:44
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Re: Mr.Sam takes 18 hours to go by train to a certain city and return by [#permalink]
03 May 2023, 08:44
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