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    Question

    From a total of 280 km, Sumit covered some distance by

    train at 70 km/h and the rest by bus at 35 km/h. If the entire trip took 5.8 hours, how much distance did he travel by train?
    A 141 km Correct Answer Incorrect Answer
    B 154 km Correct Answer Incorrect Answer
    C 125 km Correct Answer Incorrect Answer
    D 180 km Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the distance by train be d km.

    Then, distance by bus = 280 - d km

    Time equation: d / 70 + (280 - d) / 35 = 5.8

    LCM of 70 and 35 = 70

    So, d/70 + 2(280 - d)/70 = 5.8

    Or, (d + 560 - 2d) / 70 = 5.8

    Or, (560 - d)/70 = 5.8

    Multiply both sides:

    560 - d = 406

    d = 154

    Distance by train = 154 km

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