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    Question

    A train can cross a pole in 10 seconds while it can

    cross a 240 metres long platform in 28 seconds. Find the time (in hours) taken by the train to cover a distance of 540 km if the train increased its speed by 50%.
    A 8.0 hours Correct Answer Incorrect Answer
    B 7.5 hours Correct Answer Incorrect Answer
    C 6.8 hours Correct Answer Incorrect Answer
    D 7.2 hours Correct Answer Incorrect Answer

    Solution

    Let speed of train is 'x' m/s while length of the train is 'l' metres.
    So, l = 10x And, l + 240 = 28x
    Or, 10x + 240 = 28x
    Or, 18x = 240
    Or, x = 40/3
    So, Speed of train = (40/3) × 18/5 = 48 km/h
    Desired time = 540/(1.50 × 48) = 7.5 hours

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