Two trains, each of length 100 m are running in the same direction on two parallel tracks with different velocities. They take a time of 10 second to cross each other, but in opposite directions, they take a time of 5 second to cross each other. Then velocities of the trains are

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30 m/s, 20 m/s

25 m/s, 15 m/s

30 m/s, 10 m/s

15 m/s , 10 m/s

answer is B.

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Detailed Solution

$\frac{2 l}{v_{1} - v_{2}} = t_{1} . . . (1) a n d \frac{2 l}{v_{1} + v_{2}} = t_{2} . . . (2)$

$\frac{200}{10} = 20 = v_{1} - v_{2} f r o m (1)$

$\frac{200}{5} = 40 = v_{1} + v_{2} f r o m (2)$

$solving we get v_{1} = 30 m / s and v_{2} = 10 m / s$

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