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Problems on Trains - General Aptitude

Q1:

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

ANS:B - 3 : 2

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