A train passes a station platform in 18 s and a man standing on the platform in 10 s. If the speed of the train is 108 km/h, find the length of the platform.
From the given data, we get
⇒ Speed of the train = 108 × 5/18 = 30 m/s
⇒ Length of the train = 30 × 10 = 300 m
Let us consider the length of the train be x metres
⇒ (x + 300)/18 = 30
⇒ x + 300 = 540
⇒ x = 540 - 300 = 240
∴ Length of the platform = 240 m