Multiple choice

A superfast Duronto express running at 90 kmph overtakes a bike running at 36 kmph in 25 seconds. What is the length of the train in meters?

  1. 375 m

  2. 225 m

  3. 275 m

  4. 325 m
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A Correct answer
Explanation

The relative speed of the train with respect to the bike is 90 - 36 = 54 kmph. Converting to m/s: 54 * (5/18) = 15 m/s. The distance covered (length of the train) is speed * time = 15 * 25 = 375 meters.

AI explanation

Since the train overtakes the bike moving in the same direction, we use the relative speed formula by subtracting their speeds: 90 kmph minus 36 kmph equals 54 kmph. Converting this relative speed to meters per second gives 54 multiplied by 5/18, which equals 15 m/s. The length of the train is the relative distance covered in 25 seconds, so we multiply 15 m/s by 25 s to get 375 meters.

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