Question

A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?.

Answer 1

The speed is the distance covered by an object at a particular time. The time it will take for the train to pass the jogger is 36 seconds.

What is speed?

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

$\rm{Speed = \dfrac{Distance}{Time}$

The speed of the train and the man can be written as,

• Speed of the train = 45kmph = 45×(5/18) = 12.5mps
• Speed of the man = 9kmph = 9×(5/18) = 2.5mps

Now, the time it will take for the train to completely pass the man is,

Relative speed = Distance / Time

(12.5 - 2.5) = (240 + 120)/ Time

10 = 360/Time

Time = 360/10

Time = 36 seconds

Hence, the time it will take for the train to pass the jogger is 36 seconds.

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