Question

    Maya has to go to the airport. If she drives at 36 km/h,

    she arrives 1.5 hours late. If she drives at 60 km/h, she reaches 45 minutes early. What is the distance between her house and the airport?
    A 100 km Correct Answer Incorrect Answer
    B 235.5 km Correct Answer Incorrect Answer
    C 202.5 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/36) = t + 1.5

    Or, t = (d/36) - 1.5

    And, (d/60) = t - 0.75

    Or, t = (d/60) + 0.75

    So, (d/36) - 1.5 = (d/60) + 0.75

    Or, (d/36) - (d/60) = 2.25

    LCM of 36 and 60 = 180

    Or, (5d - 3d)/180 = 2.25

    Or, 2d = 405

    So, d = 202.5

    Therefore, the distance = 202.5 km

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