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# A round trip from A to B takes 2 hours by car for Sarah. If she drives

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DS Forum Moderator
Joined: 21 Aug 2013
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Location: India
A round trip from A to B takes 2 hours by car for Sarah. If she drives  [#permalink]

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28 Jun 2018, 23:52
2
00:00

Difficulty:

75% (hard)

Question Stats:

45% (02:11) correct 55% (02:14) wrong based on 53 sessions

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A round trip from A to B takes 2 hours by car for Sarah. If she drives at a uniform speed without stopping and the distance from A to B is lesser than distance from B to A due to a road diversion while returning, how much time does it take Sarah to drive from A to B?

(1) Total round trip distance from A to B and back is 90 miles.

(2) Distance from B to A is 25% more than the distance from A to B, because of the diversion.
Math Expert
Joined: 02 Aug 2009
Posts: 7111
Re: A round trip from A to B takes 2 hours by car for Sarah. If she drives  [#permalink]

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29 Jun 2018, 05:36
A round trip from A to B takes 2 hours by car for Sarah. If she drives at a uniform speed without stopping and the distance from A to B is lesser than distance from B to A due to a road diversion while returning, how much time does it take Sarah to drive from A to B?

(1) Total round trip distance from A to B and back is 90 miles.
There is a diversion in return route so we cannot know the distance from A to Be
Insufficient

(2) Distance from B to A is 25% more than the distance from A to B, because of the diversion.
Since the speed is constant, the ratio of distance will give us ratio of time..
Distance travelled 100:125 or 4:5
So time will also be 4:5..
Time from A to B = 2*60*4/(4+5)=160/3=53.33 min
Sufficient

B
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
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Re: A round trip from A to B takes 2 hours by car for Sarah. If she drives &nbs [#permalink] 29 Jun 2018, 05:36
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