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Question

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:

Options:
A .  1 : 3
B .  3 : 4
C .  3 : 2
D .  Data inadequate
E .  None of these
Answer: Option C
 -  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 + 17y = 23 x+ y  
27x + 17y = 23x + 23y
 4x = 6y
  x   =  3 . y 2

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