Question
A train running at a speed of 90 km/h crosses a bridge
in 45 seconds. If the length of the train is x meters, and length of the bridge is (6x+75) meters. Then find the value of x.Solution
Speed of the train = 90 km/h = (90 * 1000) / (60 * 60) = 25 m/s. The time taken to cross the bridge = 45 seconds. In 45 seconds, the train covers a distance = Speed * Time = 25 * 45 = 1125 meters. The distance covered by the train includes its own length and the length of the bridge. So, x + (6x+75) = 1125 7x = 1050 x = 150 Answer: d) 150
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