Multiple choice

A girl is walking at a speed of 15 km/hr along a railway track. If she is 600m hand of the train which is 300m long and runs at a speed of 180 km/hr in same direction, then what is the time required to pass a girl?

  1. 19.63sec

  2. 32sec

  3. 8.2sec

  4. 28.3sec

  5. None of these
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A Correct answer
Explanation

Interpreting “hand” as “ahead,” the train must cover 600 m to reach the girl and another 300 m to pass her. Its relative speed is 180 - 15 = 165 km/hr, or 45.83 m/s, so the time is 900/45.83 ≈ 19.63 seconds.

AI explanation

The total distance the train needs to cover to catch the girl is 600 m + 300 m = 900 m. The relative speed of the train and the girl moving in the same direction is 180 kmph - 15 kmph = 165 kmph. Converting this to meters per second gives 165 multiplied by 5/18, which equals 1375/30 m/s. The time required is the distance divided by the relative speed: 900 divided by 1375/30 equals 19.63 seconds. The train will pass the girl in 19.63 seconds.

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