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Fill and emptying pipes all open together: time to fill

This type of question, asked 7 times: 20 Jul 2023 S4, 17 Sep 2024 S3, 24 Sep 2024 S3, 25 Sep 2024 S1, 25 Sep 2024 S3, 17 Sep 2025 S3, 24 Sep 2025 S1. All 7 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    20 Jul 2023 S4

    65
    Pipe A can fill a tank in 12 minutes; pipe B can fill it in 18 minutes, while pipe C can empty the full tank in 36 minutes. If all the pipes are opened simultaneously, how much time will it take to fill the empty tank completely?

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  2. Question 2

    17 Sep 2024 S3

    59
    Two pipes can fill a tank in 12 hours and 18 hours, respectively, while a third pipe can empty it in 8 hours. How long (in hours) will it take to fill the empty tank if all three pipes are opened simultaneously?

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  3. Question 3

    24 Sep 2024 S3

    57
    Pipe A can fill a cistern in 4 hours and Pipe B can fill the same cistern in 5 hours. Pipe C can empty a full cistern in 3 hours. If all three pipes are opened together, then the time (in minutes) taken to fill the tank is: (round to the nearest minute)

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  4. Question 4

    25 Sep 2024 S1

    67
    An inlet pipe can fill a water storage tank in 11 hours and an outlet pipe can empty the completely filled tank in 15 hours .If both pipes opened simultaneously. The time taken to fill the empty tank ( in hrs) is :

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  5. Question 5

    25 Sep 2024 S3

    53
    A tap can fill a cistern in 10 minutes and another tap can empty it in 12 minutes. If both the taps are open, the time (in hours) taken to fill the tank will be:

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  6. Question 6

    17 Sep 2025 S3

    55
    Pipes A and B can fill a tank in 20 minutes and 30 minutes, respectively. Meanwhile, a drainpipe C can empty the tank in 60 minutes. If all three pipes are opened simultaneously, how long will it take to fill the tank?

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  7. Question 7

    24 Sep 2025 S1

    67
    Two taps can fill a tub in 6 minutes and 4 minutes, respectively. A pipe can empty it in 3 minutes. If all the three are kept open simultaneously, when will the tub be full?

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