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Speeds in a given ratio and the time together: one's own time

This type of question, asked 6 times: 24 Jul 2023 S1, 11 Sep 2024 S1, 13 Sep 2024 S1, 24 Sep 2024 S1, 26 Sep 2024 S1, 26 Sep 2024 S3. All 6 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    24 Jul 2023 S1

    66
    P takes twice as long as Q or three times as long as R to complete a task. If they work together, they can complete the task in two days. How long will it take Q to complete the task on his own?

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  2. Question 2

    11 Sep 2024 S1

    67
    There are two pipes to fill a tank. Together, they can fill the tank in 15 minutes. If one pipe can fill the tank in one and a half times as fast as the other, the faster pipe alone can fill the tank in:

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  3. Question 3

    13 Sep 2024 S1

    57
    There are two pipes used to fill a tank and when operated together, they can fill the tank in 20 minutes. If one pipe can fill the tank two and a half times as quickly as the other, then the faster pipe alone can fill the tank in:

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  4. Question 4

    24 Sep 2024 S1

    53
    One pipe can fill a tank 6 times faster than another pipe. If both the pipes together can fill the tank in 40 minutes, then in how many minutes will the slower pipe alone be able to fill the tank?

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  5. Question 5

    26 Sep 2024 S1

    71
    One pipe can fill a tank four times as fast as another pipe. If together the two pipes can fill the tank in 48 minutes, the slower pipe alone will be able to fill the tank in:

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  6. Question 6

    26 Sep 2024 S3

    57
    A tank is filled in 45 minutes by two pipes, A and B. Pipe B fills the tank twice as fast as A. How much time (in minutes) will pipe A alone take to fill the tank?

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