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 24 seconds. The ratio of their speeds is?  Select the correct option
A) 3/7  B) 3/2  C) 3/5  D) 3/1  E) 7/3
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) = 24   ==&gt; 27 x + 17 y = 24 x + 24 y ==&gt; 3 x = 7 y ==&gt; x/y   = 7/3.   Answer: 7/3
<result>E</result>
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 24 seconds. The ratio of their speeds is?