Monday, 9 February 2015

MATH : PIPE AND CISTERNS PROBLEM, UNIT-1



1. Pipes A and B fill tank in 24 and 30hrs. How much time the will tank if they both started together?

2. Pipe A fill tank in 15hr. Due to leak, it fills in 20hr. If tank is full, how much time it will take to empty it ?

3. Pipe A and B fill tank in 6 and 9hr and pipe C take 12hr to empty it. If they started together. Tank will fill in?

4. Two pipe A and B fill tank in 24 and 32min. If both pipes are opened together, after how much time should B be closed so that tank fill in 18min?

5. Pipes A and B can fill a tank in 5hr and 6 hours respectively. Pipe C can empty it in 12 hours. If

all the three pipes are opened together, then the tank will be filled in?

6. A pump can fill a tank with water in 2 hours. Because of a leak, it took 2+1/3 hours to fill the

tank. The leak can drain all the water of the tank in how much time?

7. Two pipes A and B can fill a cistern in 37+1/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after how much time?

8. A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4hrs slower than 3rd pipe. the time required by first pipe is?

9.Two pipes can fill a tank in 20min and 24minutes respectively and a waste pipe can empty 3

gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The

capacity of the tank is?

10. A tank is filled in 5 hours by three pipes A, Band C. The pipe C is twice as fast as B and B is

twice as fast as A. How much time will pipe A alone take to fill the tank?

11. Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?

12.Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?

13.Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?

14. One pipe can fill a tank three 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?

15. A large tanker can be filled by two pipes Aand B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B isused for half the time and A and B fill it together for the other half?

16. A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

17.Three taps A, B and C can fill a tank in 12, 15and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full in?

18. Three pipes A, B and C can fill a tank in 6hours. After working together for 2hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is?

19.Pipe A and B can fill tank in 20min and 60min. Both are opened  10min then A is off. After, how much time tank will be filled?

20. pipe A and B fil tank in 20hr and 30hr. if anther pipe B empty it in 40hr. then in how much time tank will be filled if C is opened after 3hr?
 
 

                    

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