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.

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.