Two trains running in opposite directions cross a man standing on the platform in 37 seconds and 27 seconds respectively and they cross each other in 29 seconds. The ratio of their speeds is:	Choose the correct choice from the following answers: A) 3 : 1 B) 3 : 2 C) 3 : 8 D) 3 : 25 E) 1 : 4
Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 37 x meters, and length of the second train = 27 y meters. (37 x + 27 y) / (x + y) = 29==&gt;   37 x + 27 y = 29 x + 29 y ==&gt; 8 x = 2 y ==&gt; x/y = 2/8 = 1/4   Answer: Option 1 : 4
<result>E</result>
Two trains running in opposite directions cross a man standing on the platform in 37 seconds and 27 seconds respectively and they cross each other in 29 seconds. The ratio of their speeds is: