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    Question

    Ravi travels from town X to town Y. At 20 km/h he reaches 4

    hours late, but at 50 km/h, he reaches 2 hours early. Find the distance between town X and town Y.
    A 125 km Correct Answer Incorrect Answer
    B 235 km Correct Answer Incorrect Answer
    C 200 km Correct Answer Incorrect Answer
    D 155 km Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the distance = 'd' km

    Let the usual time = 't' hours

    Then, (d/20) = t + 4

    Or, t = (d/20) - 4

    And, (d/50) = t - 2

    Or, t = (d/50) + 2

    So, (d/20) - 4 = (d/50) + 2

    Or, (d/20) - (d/50) = 6

    LCM of 20 and 50 = 100

    Or, (5d - 2d)/100 = 6

    Or, 3d = 600

    So, d = 200

    Therefore, the distance = 200 km

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