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Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 23 seconds. what is the ratio of their speeds?

Insufficient data
3 : 1
1 : 3
3 : 2
Explanation:

Let the speed of the trains be $x$ and $y$ respectively

length of train1 = 27$x$

length of train2 = 17$y$

Relative speed= $x+ y$

Time taken to cross each other = 23 s

=> $\left (27x + 17 y\right)$/$\left(x+y\right)$ = 23

=> $\left (27x + 17 y\right)$/ = 23$\left(x+y\right)$

=> $4x = 6y$

=> $x/y = 6/4 = 3/2$

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