Multiple choice

A train travelling at 100 kmph overtakes a motorbike travelling at 64 kmph in 40 seconds. What is the length of the train in metres?

  1. 200 m

  2. 400 m

  3. 300 m

  4. 250 m

  5. 800 m
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Relative speed = 100 - 64 = 36 kmph = 36 * 5/18 = 10 m/s. Distance covered in 40 seconds = 10 * 40 = 400 metres. Since the train overtakes the motorbike, the distance covered is the length of the train.

AI explanation

Since the train overtakes the motorbike, they are traveling in the same direction, meaning their relative speed is the difference of their individual speeds. The relative speed is 100 minus 64, resulting in 36 km/hr. Converting this speed to meters per second requires multiplying by 5/18, which yields 10 m/s. The length of the train is the distance traveled at this relative speed during the overtake, so 10 m/s multiplied by 40 seconds results in a train length of 400 meters.

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