Multiple choice

A train cross a pole in 25 seconds and a 240 meters longplatform in 40 seconds. Find the length of the train?

  1. 250 m

  2. 200 m

  3. 300 m

  4. 400 m

  5. 350 m
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the train length be L metres. Its speed is L/25, and crossing the platform gives speed (L + 240)/40. Equating these gives 40L = 25L + 6000, so L = 400 metres.

AI explanation

Let the length of the train be L and its speed be S. Using the pole crossing, the speed S equals L divided by 25. Using the platform crossing, the speed S equals (L + 240) divided by 40. Equating the two expressions gives L divided by 25 equals (L + 240) divided by 40. Solving this equation, 40L equals 25L plus 6000, which leads to 15L = 6000, so L = 400. The length of the train is 400 m.

Keep practicing — related questions