Multiple choice

Two trains are running on two parallel tracks in same direction. In how much time will a 200 m long train moving at a speed of 80 m/s overtake another train of length 800 m moving at a speed of 40 m/s?

  1. 25 s

  2. 50 s

  3. 10 s

  4. 5 s
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A Correct answer
Explanation

Relative speed = 80 - 40 = 40 m/s. Total distance to cover = 200 + 800 = 1000 m. Time = Distance / Relative Speed = 1000 / 40 = 25 seconds.

AI explanation

Because the trains are moving in the same direction, their relative speed is the difference between their speeds: 80 m/s - 40 m/s = 40 m/s. The total distance the faster train must cover to completely overtake the slower one is 200 m + 800 m = 1000 m. Using the formula time equals distance divided by speed, the time required is 1000 / 40 = 25 seconds.

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