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    Question

    A thief saw a policeman, and he started running at a

    speed of 18 m/s. After 12 seconds, the policeman starts running behind the thief at a certain speed. If the policeman covered 864 meters distance to reach the thief, then the speed (in m/s) of the policeman is:
    A 15 Correct Answer Incorrect Answer
    B 30 Correct Answer Incorrect Answer
    C 24 Correct Answer Incorrect Answer
    D 28 Correct Answer Incorrect Answer

    Solution

    Given: Thief's speed = 18 m/s Head start = 12 sec ⇒ Distance = 18 × 12 = 216 m Policeman covers 864 m to catch thief Let policeman's speed = x m/s Time taken by policeman: Thief runs for (t + 12) sec → 18(t + 12) = 864 → 18t + 216 = 864 → t = 36 sec Policeman's speed: x = 864 ÷ 36 = 24 m/s

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