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    Question

    Two men start together to walk a certain distance, one

    at 4 km/h and another at 3 km/h. The former arrives half an hour before the latter. Find the distance.
    A 6 km Correct Answer Incorrect Answer
    B 9 km Correct Answer Incorrect Answer
    C 8 km Correct Answer Incorrect Answer
    D 7 km Correct Answer Incorrect Answer

    Solution

    Time = Distance / SpeedSo, Time taken by first man = D / 4
    Time taken by second man = D / 3

    Second man takes 0.5 hour more than the first man: D/3 – D/4 = 0.5

    (4D − 3D)/12 = 0.5 ⇒D/12 = 0.5 ⇒D = 0.5 × 12 = 6

    The distance is 6 km.

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