Multiple choice

On a railway station platform, a boy is walking towards the enquiry window at a speed of 3 km/hr parallel to the railway line running alongside the platform. Meanwhile, a 150-metre long train running at a speed of 80 km/hr passes him, running in the same direction as the boy is walking. What is the time taken by the train to pass the boy?

  1. 4 seconds

  2. 5 seconds

  3. 6 seconds

  4. 7 seconds

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Relative speed = 80 - 3 = 77 km/hr = 77 * (5/18) m/s = 385/18 m/s. Time = Distance / Speed = 150 / (385/18) = (150 * 18) / 385 = 2700 / 385 = 7.01 seconds.

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