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
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