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Question

A train $$400$$m long crosses a bridge $$500$$m long in $$90$$ sec. Find the train in km/h ?


Solution

To cross the bridge, the distance travelled by the train $$=400\ m +500\ m =900\ m$$

Time taken $$=90\ secs$$

$$\therefore\,$$Speed of the train$$=\dfrac{distance}{time}$$

$$=\dfrac{900}{60}$$

$$=15\,m{s}^{-1}$$

$$1\,m=\dfrac{1}{1000}\,km$$ and $$1\,second=\dfrac{1}{3600}hrs$$

$$=15\times\dfrac{1}{1000}\times 3600$$ using $$m{s}^{-1}=\dfrac{m}{s}$$

$$=15\times \dfrac{3600}{1000}$$

$$=15\times \dfrac{18}{5}=3\times 18=54km\,per\,hr$$

Hence the train travels at a speed of $$54\,km\,per\,hr$$

Physics

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