Multiple choice

Two trains of lengths 250 metres and 200 metres are running in the same direction. If the trains cross each other in 45 seconds and the speed of the first train is 27 km/hr, then find the speed of the second train.

  1. 72 km/hr

  2. 54 km/hr

  3. 63 km/hr

  4. 36 km/hr
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Relative speed = (250+200)m / 45s = 450/45 = 10 m/s. 10 m/s = 36 km/hr. Since they move in the same direction, relative speed = |V1 - V2|. 36 = |27 - V2|. V2 = 27 + 36 = 63 km/hr.

AI explanation

Let the speed of the second train be x km/hr. Because they are moving in the same direction, their relative speed is the absolute difference of their speeds, giving (x minus 27) km/hr. Converting this relative speed to meters per second requires multiplying by 5/18, and setting it against the total length of 450 meters divided by 45 seconds yields the equation (x minus 27) multiplied by 5/18 equals 10. Solving for x gives x minus 27 equals 36, making the speed of the second train 63 km/hr.

Keep practicing — related questions