Pipes and Cisterns Quiz 4

1. Two pipes P and Q cab fill a cistern in 15 and 20 hours respectively, while a third pipe R can empty the full tank in 25 hours. All the three pipes are opened. After 10 hours R is closed. The tank will be full in how many hours?

2. A tank has a leak, which could empty it in 8 hours. A tap is turned on which admits 6 liters a minute into the cistern and it is now emptied in 12 hours. How many liters does the cistern hold?

3. Two caps can fill a tank in 12 and 18 minutes respectively. Both are kept opened for 2 minutes and the first is turned off. In how many minutes more will the tank be filled?

4. Two pipes P and Q can fill a cistern in 12 minutes and 18 minutes respectively. They are turned on at the same time. If the tap P is turned off after 4 minutes, how long will tap Q take to fill the rest cistern?

5. If two pipes function simultaneously, the reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hours faster than the other. How many hour does it take the second pipe along to fill the reservoir?

6. Two pipes can fill a cistern in 14 and 16 hours respectively. The pipes are opened simultaneously and it was found that due to leakage in the bottom, it took 32 minutes more to fill the cistern. When the cistern is full, in what time will the leak empty it?

7. Two pipes P and Q can fill a cistern in 24 minutes and 32 minutes respectively. If both are opened simultaneously, after how much time Q should be closed, so that the tank is full in 18 minutes?

8. A cistern is 2/5th full. Pipe P can fill the total tank in 10 minutes and pipe Q can empty it in 6 minutes. If both the pipes are opened, how long will it take to empty or fill the tank completely?

9. Two pipes P and Q can fill a cistern in 12 minutes and 15 minutes respectively, While a third pipe R can empty the full cistern in 6 minutes. P and Q are kept open for 5 minutes in the beginning and then R is also opened. In what time the cistern is emptied?

10. Three pipes P, Q and R can fill a tank in 6 hours. After working it together for 2 hours, R is closed and P and Q can fill the remaining part in seven hours. The number of hours taken by R alone to fill the tank is