COMPACT QUESTIONS (PIPE AND CISTERNS)

1) Two taps A and B can fill a tank in 48 minutes and 36 minutes. If both taps are opened together, after how much time tap A is closed so that the whole tank fill in 25 minutes 30 second.            14m

2) Two fill pipes A and B can fill a cistorn in 18 and 24 minutes respectively. Both fill pipes are open together, but 6 minutes before the cistern will fill pipe A is closed. In how much time will the cistern take to fill  ?                96/7 m

3) Two fill pipes A and B can fill a cistern in 18 and 24 minutes respectively. Both fill pipes are opened together but 4 minutes before the cistern is full, Pipe A is closed. How much time will the cistern take to fill.                        64/7 m

4) A cistern can be filled by two pipes filling separately in 12 and 16 minutes respectively. Both pipes are opened together, for a certain time out being clogged only 7/8 of quantity of water flows through the former and only 5/6 through the latter pipe. The obstruction is removed, the cistern is filled in 3 minutes from that moment. How long was it before the full flow began.  15/2m

5) A cistern can filled by two pipes in 15 and 25 minutes respectively. Both pipes are opened together, for a certain time out being clogged, only 5/6 of quantity of water flows through the former and 5/8 through the latter pipe . The obstruction is removed, the cistern is filled in 5 mins from that moment. How long was it before the full flow began.    168/29

6) A cistern can be filled by two pipes in 30 and 36 minutes respectively . Both pipes are opened together for a certain time but being particularly clogged only 5/6 of the full quantity of water flows through the former and only 9/10 through the latter. The obstruction is removed, the cistern is filled in 31/2 minute from that moment. How long was it before full flow began.        1 m

7)  Two taps A and B can fill a tank in 30 minutes and 36 minutes respectively. Both tapes are opened together but due to some problem they work 5/6 and 9/10 of their efficiency, after sometime the problem was removed and the whole tank will fill in 32/2 minutes, then after how much time the problem is removed.        1 min

8) Tapes A and B can fill a cistern in 20 hours and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is 1/3rd full a leak develops in the bottom of the tank, through which 1/3rd of the water supply by both pipes leak out. Find in how much time the tank will full ?          16 m

9) A and B can fill a tank in 15 and 20 hours respectively. Both the tapes are open together, when the tank was 1/4th full a leak develop in the bottom the tank, through which 1/5th of the water supply by both the pipes leak out. Find in how many hours tank will full.     285/28 hrs

10) In a tank four tapes of equal efficiency are fitted on equal height intervals . The 1st pipe is at the base of the tank and the 4th pipe is at 3/4th of height of the tank. Then calculate in how much time the whole tank will empty if and the 1st pipe can empty the tank in 12 hours.                           25/4 hrs

11) Two tapes A and B can fill a tank in 10 hours and 12 hours respectively. There is an outlet tap C. If all the taps are opened together the tank will fill in 30 hours. In how many hours Tap C alone can empty the tank ?   20/3 hrs

12) 2 pipe A and B can fill a cistern in 1 hour and 75 minutes respectively . There is also an outlet pipe C. If all the three pipes are opened together, the tank is full in 50 minutes. How much time will be taken by C to empty the full tank .    100 mins

13) Two pipes are running continuously to fill the tank. The first pipe could have filled it in 5 hrs by itself and second one in 20 hours. But a third pipe was there to empty it but the operator did not notice it due to which it caused a delay of 1 hour in filling the tank. Find the time in which the third pipe would empty the filled tank ?            20 hrs

14) Two pipes can fill a cistern in 14 and and 16 hours respectively . The pipes are opened simultaneously and it is found that due to leakage in the bottom, it took 92 minutes more to fill the cistern . When the cistern is full , in what time will the leak empty it ?       43-19/23 hrs

15) Three pipes A, B and C are attached to a cistern. A and B can fill it in 30 hrs and 20 hrs respectively and 3rd pipe C leaks out 45 litre water per minute . If full the three Pipes are opened simultaneously the tank will fill in 15 hours. Find the capacity of the tank .  162000 litres

16) A leak in the bottom of the tank can empty it in 6 hours. A tap fill the tank @ 4 lit/min is turn on. If both taps are opened the tank will empty in 8 hours. Find the capacity of the tank?   5760 l

17) A lake in the bottom of a tank and empty it in 12 hours. A tap which can added 20 Lit/min is turn on. Both the taps are opened now, then the tank is emptied in 20 hours. Find the capacity of the tank .                                 36000

18) 8 taps are fitted in a tank, some are water taps and rest are outlet tap. Each water tap can fill the tank in 12 hours and each outlet tap can empty in 36 hours. Then calculate the number of water taps if the whole tank fill in 3 hours.                                    3

19) 12 Taps are filled in a tank, some are water taps and rest are outlet taps. Each Water Tap can fill the tap in 6 hours and each outlet tap can empty the tap in 12 hours  If all the taps are open together then the tank is full in 4 hours. Find the number of water taps.            12

20) A tank is connected with 8 pipes. Some of them are inlet pipes and rest are outlet by pipes. Each of the inlet pipe can fill the tank in 8 hours individually while each outlet pipe can empty the tank in 6 hours individually. If all the pipes are kept open when the tank is full , it will take 6 hours for the tank to empty. How many of these are inlet pipes.                                   4

21) if A and B can fill a tank in 10 hours and 15 hours respectively. An outlet tap C can empty it in 20 hours. Initially the tap A and tap B are opened and when the tank was supposed to be filled it was found that tap C was open mistakenly, now C is closed. After how much time tank will fill ?              9/5 hrs

22) A bath can be filled by the cold water pipe in 10 minutes and by the hot water pipe in 15 minute. A person leaves the bathroom after turning on both the pipes simultaneously and returns at the moment when the bath should be full. Finding however , that the waste pipe has been open, he now closed it. In 4 minutes more the bsth his full. In what time would the waste pipe empty it?     9 min

23) A monkey climb a pole of height 100 m. It climbs 6m above in 1st minute and 4 m below in 2nd minutes. In how many minutes monkey will climbs on the pole?        95 mins 100m

24) A monkey Climb a pool of height 60m. It climb 5 meter above in first minute and 4m below in 2nd minutes. In how many minutes monkey will climb on the pole ?                       111min  60m

25) A, B, C are pipes attached to a cistern. A and B can fill in 20 minutes, 30 minutes respectively. While C can empty in 15 minutes. If  A, B and C kept open successively for 1 minute each , how soon the cistern will be filled.     167 min 60m

26) Tap A and tap B can fill a tank in 10 hours and 12 hours respectively. Tap C can empty it in 12 hours. If all the taps are open alternatively 1 hr each, then the whole tank will fill in how many hours.      122/3 hrs

27) 3 pipes A, B and C are attached to a cistern . Pipe A and B can fill the cistern. 20 and 30 hours respectively and the pipe C can empty in 60 hours. Pipe A and C are opened for first hour and the pipe B and C are opened for the 2nd hour and this process continuous till the cistern does not fill. In how much time the tank will be filled ?                 40 hrs 60 units

28) In what time would a cistern is filled by 3 pipes whose diameters are 1cn, 4/3cm, 2cm running together, when the largest alone filled it in 61 minutes. The amount of water flowing in by each pipe being proportional to the square of its diameter ?             4/5 hrs

29) One fill pipe  A take 3 minutes more to fill the tank than two pipes A and B opened together to fill it. 2nd fill pipe B takes 64/3 min more to fill the tank then A+ B together take. When the tank will be full if both pipes are opened simultaneously?        8 min

30) 3men+ 4boys can earn ₹756 in 7 days. 11men+ 13boys can earn ₹3008 in 8 days. In what time will 7men+ 9boys earn ₹2480?               10days


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