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    Question

    A thief noticed a policeman at a distance of 600 metres.

    The thief started running and the policeman chased him. The thief and policeman are running at speeds of 12 km/h and 15 km/h, respectively. Find the time (in minutes) required for the policeman to catch the thief.
    A 8 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 15 Correct Answer Incorrect Answer

    Solution

    Convert speeds to m/s: Thief: 12 km/h =12 × (1000/3600) =10/3 m/s  Policeman: 15 km/h = 15 × (1000/3600) = 25/6 m/s  Relative speed: 25/6 – 10/3 = 5/6 m/s Time to catch thief: Time = Distance/Relative speed = 600/(5/6) = 720 seconds = 12 minutes 

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