Discussion of Question with ID = 005 under Problems-on-Trains

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Question

Two trains start simultaneously. The first train moves from A to B, whereas the second train moves from B to A. After they meet at a point in between, they respectively take 144 hours and 4 hours to reach their destinations. What is the ratio of their speeds?

A

${1/6}$.

B

${7/5}$.

C

${13/8}$.

D

${19/8}$.

Soln.
Ans: a

If they take $t_1 and t_2$ hours respectively to reach their destinations, then the ratio of their speeds is $√t_2 : √t_1$. So we get $√4 : √144$, which gives 2 : 12, or ${1/6}$.

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