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Rate and work problem

by nidhis.1408 » Mon Jul 09, 2012 8:47 am
A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 300 miles apart, at what time will the trains pass each other?
(A)12:40 pm
(B) 12:49 pm
(C) 12:55 pm
(D) 1:00 pm
(E) 1:05 pm
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by Anurag@Gurome » Mon Jul 09, 2012 9:04 am
nidhis.1408 wrote:A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 300 miles apart, at what time will the trains pass each other?
In 10 minutes the first train has traveled (240/60)*10 = 40 miles
Hence, (300 - 40) = 260 miles need to be covered.

As the trains are moving towards each other they are covering (240 + 160) = 400 miles in one hour
Hence, the time they will take to cover 260 miles = (60/400)*260 = 39 minutes

Therefore, they will meet at (12 noon + 10 minutes + 39 minutes) = 12:49pm

The correct answer is B.
Anurag Mairal, Ph.D., MBA
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