In what time would a Cistern be filled by three pipes whose diameter are 2cm, 8/3cm and 4cm running together, where the largest pipe alone fill it in 183 minutes. The amount of water flowing in by each pipe being directly proportional to the square of diameter?

1^{st}Pipe 2^{nd}Pipe 3^{rd}Pipe Diameter 2 8/3 4 6 8 12 3 : 4 : 6 Efficiency proportional to the Square of the diameter 9 : 16 : 36 Total efficiency = 9 + 16 + 36 = 61 Pipe 3^{rd}can fill the cistern in 183 minutes (given) Therefore, the capacity of the Tank = (36 × 183) = 6588 Now, the Time taken by all pipes together = 6588/61 = 108 minutes

- A cistern has two pipes one can fill it with water in 24 hours and other can empty it in 9 hours. In how many hours will the cistern be emptied if both the pipes are opened together when (5 )/8th of the cistern is already filled with water?
- 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 A and B can fill a cistern in 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?
- There are 16 taps which are fitted in a tank .In which some are inlet pipes and some are Outlet pipes .Each inlet tap has the efficiency to fill the tank in 12 hours and each outlet tap can empty the tank in 8 hours .If all the pipes are kept open when the tank is full it will take exactly 8 hours for the tank to empty. Then find how many of these are inlet pipes?
- Pipe ‘A’ can fill a 120-litre tank in 24 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.
- A cistern is normally filled in 18 hours, but it takes 12 hours longer to fill because of a leak at its bottom. If the cistern is full, how long will it take to empty it?
- Pipe ‘A’ and pipe ‘B’, together can fill 20% of a tank in 7 hours while pipe ‘C’ takes 40 hours to empty it. Pipe ‘A’ and pipe ‘B’ were opened together. After 34 hours, pipe ‘C’ is also opened. Find the total time taken to fill the empty tank this way.
- Pipe ‘A’ and pipe ‘B’ can fill a cistern in 20 minutes and 12 minutes respectively. Pipe ‘C’ alone can empty the cistern in 10 minutes. If all three pipes are opened together then what is the time taken to fill 50% of the cistern?
- In what time would a Cistern be filled by three pipes whose diameter are 2cm, 2 2/3cm and 4cm running together, where the largest pipe alone fill it in 183 minutes. The amount of water flowing in by each pipe being proportional to the square of diameter?
- Pipe A and Pipe B can fill a cistern together in 18 minutes. Pipe B is 50% more efficient than pipe A. Find the capacity of cistern, if it is given that pipe ‘A’ fills the cistern at speed of 6 litre/minute.

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