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    Question

    Tina has to reach the railway station. If she walks at 12

    km/h, she is 2 hours late. If she walks at 20 km/h, she reaches 1 hour early. Find the distance between her house and the station.
    A 100 km Correct Answer Incorrect Answer
    B 235 km Correct Answer Incorrect Answer
    C 90 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/12) = t + 2

    Or, t = (d/12) - 2

    And, (d/20) = t - 1

    Or, t = (d/20) + 1

    So, (d/12) - (d/20) = 3

    LCM of 12 and 20 = 60

    Or, (5d - 3d)/60 = 3

    Or, 2d = 180

    So, d = 90

    Therefore, the distance = 90 km

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