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Practice Pipes and Cisterns Practice Questions with Detailed Solutions – Level 3

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  1. Question 1

    Pipes A and B can fill a tank in 12 hours and 15 hours respectively. Pipe C can empty the full tank in 20 hours. All three pipes are opened together on an empty tank. After 3 hours, pipe C is closed. In how much total time, from the start, will the tank be full?

  2. Question 2

    A leak at the bottom of a full tank can empty it in 8 hours. An inlet pipe that supplies 4 litres per minute is opened while the tank is full. The tank now becomes empty in 12 hours. What is the capacity of the tank?

  3. Question 3

    Pipes A and B can fill a tank in 12 hours and 16 hours respectively. They are opened alternately for 1 hour each, starting with A, on an empty tank. In how much time will the tank be filled?

  4. Question 4

    Pipes A and B can fill a cistern in 30 minutes and 40 minutes respectively, and pipe C can empty the full cistern in 60 minutes. All three are opened together on an empty cistern, and C is closed after some time. If the cistern is full in exactly 20 minutes from the start, after how many minutes was C closed?

  5. Question 5

    Pipe A is three times as efficient as pipe B, and pipe B is twice as efficient as pipe C. Working together, the three pipes fill a tank in 6 hours. How long would pipe B alone take to fill the tank?

  6. Question 6

    Two inlet pipes can fill a tank in 20 minutes and 24 minutes respectively. An outlet pipe at the bottom drains water at 3 litres per minute. When all three pipes are open, the empty tank is filled in 15 minutes. What is the capacity of the tank?

  7. Question 7

    Pipes A and B together can fill a tank in 18 minutes, but because of a leak they take 24 minutes. Pipe A alone can fill the tank in 30 minutes. How long would pipe A alone take to fill the tank with the leak present?

  8. Question 8

    Pipe A can fill a tank in 6 hours and pipe B can empty the full tank in 8 hours. Starting with an empty tank, A and B are opened alternately for 1 hour each, beginning with A. After how many hours will the tank be full for the first time?

  9. Question 9

    Pipe A pours 20 litres per minute more than pipe B. Together they fill a 2400-litre tank in 30 minutes. How long would pipe B alone take to fill the tank?

  10. Question 10

    A pipe can fill an empty tank in 10 hours. When the tank is half full, a leak develops, and the tank takes 13 hours in all to fill. In how much time can the leak alone empty the full tank?

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