What is the time taken by a 90 m long train travelling at a speed of 18 km/hr to cross a bridge of length 270 m?

84sec

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72sec

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20sec

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40sec

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Solution

The correct option is B
72sec

Time taken = Distance travelled / Speed

Here, Distance = length of the train + length of the bridge = 90 m + 270 m = 360 m

Speed, here it is the speed of the train itself as the bride doesn't have any speed. but we have to convert it into m/s. So, $18 \times \frac{5}{18} = 5 m / s$

So now, the time is taken by the train to cross the bridge (in seconds)= $\frac{360 m}{5 m / s} = 72 s e c$

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