PIPES AND CISTERN

QUESTIONS

QUES 1: A cistern can be filled by pipe A and B in 12 minutes and 10 minutes respectively. The full tank can be emptied by a third pipe C in 8 minutes only. If all the taps be turned on at the same time, the cistern will be full in how much time?

QUES 2: Two pipes A and B can fill a tank in 10 hours and 15 hours respectively. If both the pipes open together how much time will it take to fill the tank?

QUES 3: Two pipes A and B can fill a tank in 60 minutes. If pipe A alone can fill it in 75 minutes. How much time will the pipe B take to fill the tank alone?

QUES 4: Three pipes A, B and C can fill a tank in 30 hours, 20 hours and 10 hours respectively. If all the pipes open together how much time is required to make the tank full?

QUES 5: Three pipes A, B and C together can fill a tank in 15 minutes. One of the pipes can fill it in 45 minutes and another in 30 minutes. How much time is taken by the third pipe alone to make the tank full?

QUES 6: A cistern can be filled by pipe A and B in 40 minutes and 60 minutes respectively. There is also an outlet C. If all the taps are open together the tank is full in 2 hours. How much time is taken by C to empty the full tank?

QUES 7: A cistern can be filled by pipe A and B in 30 minutes and 45 minutes respectively. There is also an outlet C. If all the taps are open together the tank is full in 1 hour and 15 minutes. How much time is taken by C to empty the full tank?

QUES 8: Pipe A can fill the tank in 12 minutes and pipe B can empty it in 8 minutes. If 3/4^th part of the tank is already full and both the pipes are open together. In much time both the pipes empty the tank?

QUES 9: A pipe can fill a tank in 40 minutes. Due to the leakage in the bottom it is filled in 50 hours. If the tank is full, how much time will the leak take to empty it?

QUES 10: P, Q and R are three pipes connected to a tank. P and Q together fill the tank in 4 hours. R and Q together fill the tank in 6 hours. P and R together fill the tank in 5 hours. In how much time will P, Q and R fill the tank together?

QUES 11: Two pipes A and B can fill a tank in 25 minutes and 35 minutes respectively. But a third pipe C can empty it in 10 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. In what time is the cistern emptied?

QUES 12: A cistern can be filled by pipe A and B in 25 hours and 30 hours respectively. There is also an outlet C which can empty it in 40 hours. If all the taps are open together. After 5 minutes pipe C must be turned off. In how much time the cistern is full?  

QUES 13: A tank has a leak which would empty it in 16 hours. A tap is turned on which admits 12 liter a minute into the tank and it is now emptied in 24 hours. How many liters does the tank hold?

QUES 14: Two pipes A and B can fill a tank in 12 minutes and 16 minutes respectively. If both the pipes open together after how much time should be B closed so, that the tank is full in 9 minutes?

QUES 15: Two pipes A and B can fill a tank in 10 hours and 12 hours respectively. B is open for 2 hours in the beginning, and then B is closed. In how much time A fill the remaining tank?

QUES 16: Two pipes A and B can fill a tank in 50 minutes and 60 minutes respectively. If both the pipes open together for 10 minutes, then B is closed. In  how much time A fill the remaining tank?

   ANSWERS:

Question	Answer	Question	Answer
1	17(1/7) Minutes	9	200 Minutes
2	6 Hours	10	3(9/37) Hours
3	300 Minutes	11	10(10/11) Hours
4	5 (5/11) Hours	12	10(15/44) Hours
5	90 Minutes	13	34560 Liters
6	30 Minutes	14	4 Hours
7	23 (13/19) Minutes	15	8(1/3) Hours
8	18 Minutes	16	38 Minutes