Question 61

A 200 m long train is running at a speed of 100 km/h. In how much time will it pass a man standing near the railway line?

Solution

A 200 m long train is running at a speed of 100 km/h.

length of train = 200 m

speed of train = 100 km/h

= $$100\times\frac{1000}{3600}$$ [1km = 1000m, 1hour = 3600 seconds]

= $$\frac{250}{9}$$ m/s

time taken to pass a man = $$\frac{length\ of\ train}{speed\ of\ train}$$

= $$\frac{200}{\frac{250}{9}}$$

= $$\frac{200\times\ 9}{250}$$

= $$\frac{4\times\ 9}{5}$$

= $$\frac{36}{5}$$

= 7.2 seconds

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