# Pipes and Cisterns Test 4

1. One pipe can fill a tank 3 times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in _______.

2. Bucket P has thrice the capacity as bucket Q. It takes 60 turns for bucket P to fill the empty drum?

3. Two pipes can fill a cistern in 20 minutes and 24 minutes respectively. And a drain pipe can empty 3 gallons per minutes. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is _______.

4. Three pipes P, Q and R can fill a tank in 12,15 and 20 hours respectively. If P is opened all the time and Q and R are opened for 1 hour each alternatively, the tank will be full in ______.

5. Two taps can fill an empty tank in 36 minutes and 60 minutes respectively. A third tap can empty the full tank in 90 minutes. At what time will an empty tank be filled if all the three are opened simultaneously at 8.50 A.M.?

6. Two pipes can fill half of the tank in 20 minutes. If one of the pipes fills the whole tank in 60 minutes, find the time taken by the other pipe to fill the tank individually?

7. Two pipes P and Q can fill a tank in 40 and 60 minutes respectively. When the tank will be filled, if the pipes are opened in alternative minutes starting with pipe P?

8. Two pipes P and Q can fill a cistern in 20 minutes and 30 minutes respectively. Another leak pipe R can empty the whole tank in 60 minutes. A man opened the two filing pipes and came to stop them when the tank should be filled but he finds the leak pipe R is also opened and thus he stopped the leak pipe R. Find the time taken by the pipes to fill the tank after the leak pipe was closed.

9. Three pipes P, Q and R are connected to cistern. P and Q together can fill the cistern in 12 hrs, Q and R together in 20 hrs and R and P together in 15 hrs. In how much time will each pipe fill the cistern separately?

10. A pipe can fill a tank in 20 minutes and another pipe in 30 minutes, but a third pipe can empty it in 10 minutes. The first two pipes are kept open for 8 minutes in the beginning and then the third pipe is also opened. In what time is the cistern emptied?