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Thief spotted at a distance, both start together: distance the policeman runs to catch him

The same question, asked 3 times: 25 Jul 2023 S1*, 26 Jul 2023 S1*, 26 Jul 2023 S2. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    25 Jul 2023 S1

    55
    A policeman starts chasing a thief when he was already 600 m ahead. If the policeman is running at a speed of 9 km/h and the thief at 8 km/h, then the thief would be caught at a distance of:

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  2. Question 2

    26 Jul 2023 S1

    60
    A policeman saw a thief at a distance of 400 m. The thief started running at a speed of 10 km/h and the policeman chased him at a speed of 12 km/h in the same direction. At what distance from the starting point will the policeman catch the thief?

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  3. Question 3

    26 Jul 2023 S2

    60
    A policeman spots a thief at a distance of 360 m. Both the policeman and the thief simultaneously start running, with the former chasing the latter. While the thief runs at the speed of 8 km/h, the policeman runs at 9.2 km/h. How many metres will the policeman have to run before he catches up with the thief?

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