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    Question

    Aman rides from place P to Q. At 18 km/h, he is 3.5 hours

    late. At 30 km/h, he is 1.5 hours early. Find the distance between P and Q.
    A 125 km Correct Answer Incorrect Answer
    B 235 km Correct Answer Incorrect Answer
    C 225 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/18) = t + 3.5

    Or, t = (d/18) - 3.5

    And, (d/30) = t - 1.5

    Or, t = (d/30) + 1.5

    So, (d/18) - 3.5 = (d/30) + 1.5

    Or, (d/18) - (d/30) = 5

    LCM of 18 and 30 = 90

    Or, (5d - 3d)/90 = 5

    Or, 2d = 450

    So, d = 225

    Therefore, the distance = 225 km

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