A train $225$ m long is travelling at a uniform speed of $54$ km/h. How much time will it take to pass a platform $150$ m long?

15

sec

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45

sec

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5

sec

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25

sec

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Solution

The correct option is D $25$ sec
$54 k m / h r = 54 \times \frac{5}{18}$ m/sec $= 15$ m/sec
Total distance covered by train in passing the platform $=$ Length of the train $+$ Length of the platform
$T i m e = \frac{T o t a l D i s t a n c e T r a v e l l e d}{S p e e d} = \frac{225 + 150}{15} = 25$ seconds

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