Question 63

A 600 metres long train can cross a 1200 metres long platform in 36 seconds. In how much time(in seconds) can it cross a bridge 2200 metres long?

Solution

A 600 metres long train can cross a 1200 metres long platform in 36 seconds.

Speed of train = $$\frac{length\ of\ train+length\ of\ platform}{time}$$

= $$\frac{600+1200}{36}$$

= $$\frac{1800}{36}$$

= 50 m/s

Time taken by train to cross a bridge of 2200 metres long = $$\frac{length\ of\ train+length\ of\ bridge}{speed\ of \ train}$$

= $$\frac{600+2200}{50}$$

= $$\frac{2800}{50}$$

= 56 seconds

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