Multiple choice

Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?

  1. 175 m

  2. 120 m

  3. 185 m

  4. 160 m
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A Correct answer
Explanation

Relative speed = 40 - 22 = 18 km/hr = 5 m/s. Time = 60 seconds. Total distance = 5 * 60 = 300 m. Length of second train = 300 - 125 = 175 m.

AI explanation

The relative speed of the two trains traveling in the same direction is the difference in their speeds: 40 kmph - 22 kmph = 18 kmph. Convert this relative speed to m/sec by multiplying by 5/18, which equals 5 m/sec. In 1 minute, or 60 seconds, the total distance covered at this relative speed is 5 m/sec * 60 sec = 300 m. Since the total distance is the sum of their lengths, the length of the second train is 300 m - 125 m = 175 m.

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