Two pipes A and B can fill a cistern in `27 1/2` minutes and 35 minutes respectively. Both pipes are opened. The cistern will be filled in just 25 minutes, if the pipe B is turned off after:

Let the pipe B be turned off after x minutes Then, Part filled by (A + B) in x minutes + Part filled by A in (25 - x) minutes = 1 x(2/55 - 1/35) + (25 - x) x 2/55 = 1 x/35 = 1 - 50/55 x = 35/11 or 3(2/11) minutes

- Pipe A alone fill the tank in x hours and Pipe B alone fill the tank in (x – 8) hours. If the efficiency of pipe B is triple of pipe A and pipe A fill the tank is 55 liters per hour, then what is the capacity of the tank?
- Pipe ‘A’ takes 15 minutes to fill a tank. Pipe ‘B’ takes 25 minutes to empty the same tank. If pipe ‘B’ is opened 11 minutes after pipe ‘A’, then find the total time taken to fill the tank in this manner.
- A water tank has two holes. The 1 hole alone empties the tank in 9 minutes and 2nd hole alone empties the tank in 6 minutes. If water leaks out at a constant rate, how many minutes does it take if both the holes together empty the tank?
- Pipe ‘A’ can fill 25% of a tank in 6 hours while pipe ‘B’ takes 40 hours to empty fully filled tank. Pipe ‘A’ is opened alone when the tank was empty. After 12 hours, pipe ‘B’ is also opened. In how much time the tank will get filled this way?
- Pipe ‘A’ can fill a 210-litre tank in 15 hours. If pipe ‘A’ is 25% more efficient than pipe ‘C’ whereas pipe ‘B’ is 50% more efficient than pipe ‘C’, then find the time (in minutes) taken by all the given three pipes to fill the same tank together.
- Tap A can fill a tank in 20 hours and tap B can emptied it is 25 hours. Tap A starts filling and they opened for 1 hour each alternatively in what time will the tank be full?
- Tap P can fill the tank in 5 hours and Tap Q can empty it in 7(1/2) hours. Tap P starts filling and they opened for 1 hour each alternatively. In what time will the tank be full?
- Pipe A alone fill the tank in x hours and Pipe B alone fill the tank in (x – 6) hours. If the efficiency of pipe B is double of pipe A and pipe A fill the tank is 50 liters per hour, then what is the capacity of the tank?
- Tap ‘A’ and tap ‘B’ can fill a tank in 64 hours and 56 hours, respectively. If both taps are opened together, then find the time after which tap ‘A’ must be closed so the whole tank can be filled in 21 hours.
- Two pipes P1 and P2 can fill a cistern in 12 minutes and 15 minutes respectively. These pipes are opened alternately for 1 minute each, beginning with pipe P1. In what time will the cistern be full?

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