Question

A bird is sitting on train A moving towards East with a velocity 300 km/hr. Another train B of same speed is moving in West direction on the same track. When the trains are 6 km apart, the bird starts flying with a velocity 30 km/hr with respect to ground towards B. After touching B, it returns back to A and continue repeating this process until the trains collide. In this process, the total distance traveled by the bird is:

• A. 100 m
• B. 200 m
• C. 300 m
• D. 6 km

Answer 1

The correct option is C 300 m

Relative velocity between trains: $600mk{h}^{-1}$
Time taken for crash is:
$t=\frac{d}{v}=\frac{6}{600}=\frac{1}{100}hours=36s$
Velocity of bird $=30km{h}^{-1}=30\ast \frac{5}{18}m{s}^{-1}$
Distance traveled by bird is $=30\ast \frac{5}{18}\ast 36=300m$
Hence option C is the answer.