Time is taken by two trains running in opposite directions to cross a man standing on the platform in 36 seconds and 21 seconds respectively. It took 27 seconds for the trains to cross each other. What is the ratio of their speeds?
Let the speed one train be x m/s and the speed of the second train be y m/s. Length of the first train = Speed × Time = 36x Length of second train = Speed × Time = 21y So, {(36x + 21y)/(x+y)} = 27 ⇒  36x + 21y = 27x + 27y ⇒ 9x = 6y Therefore, x:y = 2:3
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