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Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is

A. 1 : 3

B. 3 : 2

C. 3 : 4

D. None of these

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Correct Answer : B.


Let the speeds of the two trains be x m/sec and y m/sec respectively.
Then, length of the first train = 27x metres,
and length of the second train = 17y metres.
∴27x+17yx+y=23⇒27x+17y=23x+23y⇒4x=6y⇒xy=32.

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