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Find the time taken by a train 750 m long to cross a platform twice its length at a speed of 81 km/h.
Question

Find the time taken by a train 750 m long to cross a platform twice its length at a speed of 81 km/h.

A.

80sec

B.

90sec

C.

100sec

D.

75sec

Correct option is C

Given:

Length of first train =750m

Length of platform =2 times of train

Speed of train = 81km/hr

Formula Used:

Time =DistanceSpeed \frac{Distance}{Speed}​​

Solution:

Length of platform = 2×750=1500m2 \times 750 =1500m​​

Distance to cross = Length of first train + Length of platform   = 750 +1500 =2250m

Speed  in m/sec = 81×518=452=22.5 m/sec81 \times \frac{5}{18} = \frac{45}{2}=22.5 \ m/sec​​

Time taken to cross platform = 225022.5=100 seconds\frac{2250}{22.5} = 100 \ seconds​​

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