A train running at 50 km hr passes a man walking on the platform at 7 km hr in same direction as tha...........

Quantitative Aptitude ( CCS) Problems on trains

A train running at 50 km/hr, passes a man walking on the platform at 7 km/hr in same direction as that of train in 15 sec. If this train takes 30 seconds to cross the platform then find the length of train (L₁) and length of platform (L₂)?

L₁ =179.1 m, L₂ = 237.3 m

L₁ = 150.5 m, L₂ = 300 m

L₁ = 237.3 m, L₂ = 179.1 m

L₁ = 300 m, L₂ = 150.5 m

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Explanation:

Speed of train = 50 km/hr, time required to cross the platform = 30 sec,

time required to cross man standing on platform = 15 sec.

Convert km/hr into m/s

- 50 km/hr = 50 x	5/	= 13.88 m/s
	18

- 7 km/hr = 7 x	5/	= 1.94 m/s
	18

The speed of train relative to man = ( 13.88 – 1.94) = 11.94 m/s ---- (The values are subtracted because the train and man move in same direction)
Length of train = (Relative speed x Time)

= (11.94) x (15) = 179.1 m

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