CAT 2021 Slot 2 QA Question 11: Two trains A and B were moving in opposite directions, their speeds being in the ratio 5 : 3. The front end of A crossed the rear end of B 46 seconds after the front ends of the trains had crossed eac

Question

Two trains A and B were moving in opposite directions, their speeds being in the ratio 5 : 3. The front end of A crossed the rear end of B 46 seconds after the front ends of the trains had crossed eac

Accepted Answer

Let the speeds of trains A and B be $5v$ and $3v$. Since they move in opposite directions, their relative speed is $8v$.

After the front ends cross, the front end of A crosses the rear end of B in 46 seconds. So, in this time, the relative motion covers the length of train B.
$L_B=46 	imes 8v$

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