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A train is travelling with a speed of 62 kmph. To cross a platform it takes 54 s. If the length of the train is 273 m, what is the length of the platform?

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A train is travelling with a speed of 62 kmph. To cross a platform it takes 54 s. If the length of the train is 273 m, what is the length of the platform?
1). 657 m
2). 565 m
3). 677 m
4). 583 m


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Answered by on | Votes 1 |

Length of the train = 273 m

$({\rm{Speed\;of\;the\;train}} = 62kmph = 62 \times \frac{5}{{18}} = \frac{{155}}{9}{\rm{m}}/{\rm{s}})$

Time taken to cross a platform = 54 s

Distance travelled by the train = Speed of the train × Time taken $(= \frac{{155}}{9} \times 54 = 930)$ m

Distance travelled by the train = Length of the platform + Length of the train

Length of the platform = Distance travelled by train - Length of the train = 930 - 273 = 657 m

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