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    Question

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

    cross a 360 metres long platform in 30 seconds. Find the time (in hours) taken by the train to cover a distance of 648 km if the train increased its speed by 50%.
    A 5 hours Correct Answer Incorrect Answer
    B 5.5 hours Correct Answer Incorrect Answer
    C 6.66 hours Correct Answer Incorrect Answer
    D 8.4 hours Correct Answer Incorrect Answer

    Solution

    Let speed of train is тАШxтАЩ m/s while length of the train is тАШlтАЩ metres.
    So, l = 10x
    And, l + 360 = 30x
    тЗТ 10x + 360 = 30x
    тЗТ 20x = 360
    тЗТ x = 18
    Speed of train = 18 ├Ч 18/5 = 64.8 km/h
    Increased speed = 1.5 ├Ч 64.8 = 97.2 km/h
    Desired time = 648 / 97.2 = 6.66 hours

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