Multiple choice

A faster train crosses a slower train of equal length in 20 seconds. If the 2 trains are running in the same direction on parallel tracks at a speed of 50 km/hr and 32 km/hr, then what is the length of each train?

  1. 50 m

  2. 64 m

  3. 70 m

  4. 77 m

  5. 82 m
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Relative speed = 50 - 32 = 18 km/hr = 18 * (5/18) = 5 m/s. Total distance = speed * time = 5 * 20 = 100 m. Since the trains have equal length, each train is 100 / 2 = 50 m.

AI explanation

The relative speed is (50 minus 32) equals 18 km/hr, which converts to 18 multiplied by (5/18) equals 5 m/s. Since both trains have equal length (L), the total distance covered is 2L, so 2L divided by 5 equals 20 seconds. Solving for L gives 2L equals 100, making the length of each train 50 m.

Keep practicing — related questions