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$\left(x+y\right)$
=> $4x = 6y$
=> $x/y = 6/4 = 3/2$