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A train moves at the speed of 108 km/hr, passes a platform and a bridge in 15 sec and 18 Sec respectively. If the length of platform is 50% of the length of bridge, then find the length of train.
- A280 m
- B360 m
- C340 m
- D320 m
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Speed of the train = (108 × 5/18) = 30 m/s
Let the length of train be y.
Let the length of platform be x.
Length of the bridge = (100/50) × x = 2x
Distance covered by the train to pass the platform = 30 × 15 = 450 m
(x + y) = 450
Distance covered by the train to pass the bridge = 30 × 18 = 540 m
(2x + y) = 540
From above equations, y = 360 and x = 90
Length of the train = 360 m
Let the length of train be y.
Let the length of platform be x.
Length of the bridge = (100/50) × x = 2x
Distance covered by the train to pass the platform = 30 × 15 = 450 m
(x + y) = 450
Distance covered by the train to pass the bridge = 30 × 18 = 540 m
(2x + y) = 540
From above equations, y = 360 and x = 90
Length of the train = 360 m