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Two trains take 3 second to pass one another when going in opposite directions but only 2.5 second if the speed of one is increased by 50% . The time one would take to pass the other when going in the same direction at the original speed is:

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a

10 sec

b

12 sec

c

15 sec

d

18 sec

answer is C.

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Detailed Solution

Let speeds and lengths be v1, v2, and l1 l2.l1+l2v1+v2=3 and l1+l2v1+1.5v2=2.5By solving above equations, v1=l1+l25and v2=l1+l27.5Required time = l1+l2v1−v2=15s

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Two trains take 3 second to pass one another when going in opposite directions but only 2.5 second if the speed of one is increased by 50% . The time one would take to pass the other when going in the same direction at the original speed is: