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by diebeatsthegmat » Tue Sep 27, 2011 2:24 pm
Car X leaves town A at 2 p.m. and drives towards town B at a constant rate of m miles/hr. 15 minutes later car Y begins driving from town B to town A at n miles/hr. If X and Y drive along same route, will car X be closer to town A or town B when it passes car Y.
1) Car X arrives in town B 90 mins after leaving A.
2) Car Y arrives in town A at same time as car X
logically i think its B but when i outlined to solve it, i think it should be C. how do you think? please explain
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Source: — Data Sufficiency |
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by shankar.ashwin » Tue Sep 27, 2011 9:26 pm
IMO B

without any math, from statement B;

assuming both start at the same time, given they reach the destination at the same time, they would have met at midpoint of A and B.

But since Y starts from B 15 mins later(and obviously travels faster now) , car X would have crossed the mid point when they meet
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by Anurag@Gurome » Wed Sep 28, 2011 6:24 pm
diebeatsthegmat wrote:Car X leaves town A at 2 p.m. and drives towards town B at a constant rate of m miles/hr. 15 minutes later car Y begins driving from town B to town A at n miles/hr. If X and Y drive along same route, will car X be closer to town A or town B when it passes car Y.
1) Car X arrives in town B 90 mins after leaving A.
2) Car Y arrives in town A at same time as car X
logically i think its B but when i outlined to solve it, i think it should be C. how do you think? please explain
(1) We don't have any information about the 2nd car; NOT sufficient.

(2) If they drive at constant speeds, then they pass each other only once, that is, they pass each other only when arriving to town B; clearly SUFFICIENT.

The correct answer is B.
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by rahulvsd » Thu Sep 29, 2011 6:17 am
Hi,

How is statement 2 sufficient. I do understand that both cars will have same speeds, but can someone explain how statement 2 will be sufficient to solve this problem.

Thanks
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by studentps2011 » Thu Sep 29, 2011 6:38 am
rahulvsd wrote:Hi,

How is statement 2 sufficient. I do understand that both cars will have same speeds, but can someone explain how statement 2 will be sufficient to solve this problem.

Thanks
Statement 2:
Since car Y takes less time to travel the same distance, Y is faster than X. If they had crossed each other midway, Y would have reached destination faster than X. Since they are reaching their destinations at the same time, they should have crossed each other somewhere closer to B.
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by GmatKiss » Mon Oct 03, 2011 11:49 am
IMO:C
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