Question

A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 km/hr and 4 km/hr and passes them completely in 9 and 10 seconds respectively. The length of the train is:

Answer 1

Explanation:

Answer: Option B

Explanation:

2 kmph = ( 2 x 5 ( m/sec = 5 m/sec.

18 9

4 kmph = ( 4 x 5 ( m/sec = 10 m/sec.

18 9

Let the length of the train be x metres and its speed by y m/sec.

Then, ( x ( = 9 and ( x ( = 10.

y - 5

9

y - 10

9

Therefore 9y - 5 = x and 10(9y - 10) = 9x

=> 9y - x = 5 and 90y - 9x = 100.

On solving, we get: x = 50.

Therefore Length of the train is 50 m.