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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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Answer with explanation

Answer: Option B

Explanation

Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters,

and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 ==> 27 x + 17 y = 23 x + 23 y ==> 4 x = 6 y ==> x/y = 3/2.

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