[79.2 km/hr] A train moves past a post and a platform 264 m long in 8 seconds and 20 seconds respectively. What i

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A train moves past a post and a platform 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?

79.2 km/hr

69 km/hr

74 km/hr

61 km/hr

Explanation:

Let x is the length of the train and v is the speed

Time taken to move the post = 8 s

=> x/v = 8

=> x = 8v --- (1)

Time taken to cross the platform 264 m long = 20 s

(x+264)/v = 20

=> x + 264 = 20v ---(2)

Substituting equation 1 in equation 2, we get

8v +264 = 20v

=> v = 264/12 = 22 m/s

= 22×36/10 km/hr = 79.2 km/hr

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