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    Question

    A boy cycles from his school to home. Cycling at 12

    km/h, he gets home 25 minutes late. But with a speed of (30/6) m/s, he reaches only 10 minutes late. What’s the distance between his school and home?
    A 12 km Correct Answer Incorrect Answer
    B 9 km Correct Answer Incorrect Answer
    C 18 km Correct Answer Incorrect Answer
    D 32 km Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let distance = x km

    T1 = x/12

    Speed = (30/6) × (18/5) = 18 km/h

    T2 = x/18

    Difference = 25 - 10 = 15 minutes = 1/4 hour

    (x/12) - (x/18) = 1/4

    LCM = 36

    (3x - 2x)/36 = 1/4 → x/36 = 1/4 → x = 9

    Answer: 9 km

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