Question
A train that is 200 meters long
passes a platform that is 350 meters long in a specific amount of time. The same train, traveling at the same speed, also crosses a bridge that is 1150 meters long. Determine how long it takes for the train to cross the bridge. Statement I: The train takes 13(3/4) seconds to cross the platform. Statement II: The time ratio for the train crossing the platform and the bridge is 11:27, respectively. The question consists of two statements numbered "l and II" given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Solution
ATQ, Let the speed of the train is ‘X’ m/s. Statement I: According to the question, (200 + 350)/X = (55/4) Or, (550/X) = (55/4) Or, X = 40 m/s Time taken to cross the bridge = (200 + 1150)/40 = (1350/40) seconds So, data in statement I alone is suicient to answer the question. Statement II: Let the time taken by the train to cross the platform and the bridge be ‘11x’ seconds and ‘27x’ seconds, respectively. According to the question, (200 + 350)/11x = (1150 + 200)/27x So, 5 = 5 So, data in statement II alone is not sufficient to answer the question.
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