Multiple choice

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:

  1. 100 m

  2. 200 m

  3. 300 m

  4. 6 km

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The trains are 6 km apart and moving at 300 km/hr each. Relative speed = 600 km/hr. Time to collide = 6 km / 600 km/hr = 0.01 hours = 36 seconds. The bird flies at 30 km/hr for 36 seconds. Distance = 30 * (36/3600) = 0.3 km = 300 m.

AI explanation

The two trains approach each other with a relative speed of 300 km/hr plus 300 km/hr, which equals 600 km/hr. Using the formula time equals distance divided by relative speed, the time until they collide is 6 km divided by 600 km/hr, yielding 0.01 hours. During this entire time, the bird flies at a constant speed of 30 km/hr, so the distance it covers is 30 km/hr multiplied by 0.01 hours, which equals 0.3 km. Converting 0.3 km to meters gives 300 m. The result is 300 m.