Cluster · Pipes and Cisterns Problems
| Question | Category | Subtype | Difficulty | |
|---|---|---|---|---|
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There are three pipes A, B, and C fitted with a cistern, which can fill it in 45 min, 60 min, and 90 min respectively. If all three pipes are kept open together then, find the time taken by them to fill the cistern. pipeline-1048008
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railways | — | intermediate | |
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Two inlet pipes can fill an empty tank in 21 and 24 hours and one outlet pipe can empty the tank in 42 hours. If all the pipes opened simultaneously then, how many hours are required to fill the full tank? pipeline-1048011
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railways | — | intermediate | |
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There are two pipes to fill a tank. Together, they can fill the tank in 15 minutes. If one pipe can fill the tank in one and a half times as fast as the other, the faster pipe alone can fill the tank in: pipeline-1298784
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railways | — | intermediate | |
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Three pipes P, Q and R can fill a cistern in 40 minutes, 80 minutes and 120 minutes, respectively. Initially, all the pipes are opened. After how much time (in minutes) should the pipes Q and R be turned off so that the cistern will be completely filled in just half an hour? pipeline-1297276
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railways | — | intermediate | |
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Pipe A can empty a tank in 56 minutes, Pipe B can fill the same tank in 84 minutes and Pipe C can fill the same tank in 112 minutes. If all three pipes work together then how many minutes will it take to fill the empty tank? pipeline-1299176
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railways | — | intermediate | |
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Pipes M, N, and S can fill a tank in 25, 50, and 100 minutes, respectively. Initially, pipes N and S are kept open for 10 minutes, and then pipe N is shut while pipe M is opened. Pipe S is closed 15 minutes before the tank overflows. How much time (in minutes) will it take to fill the tank if the three pipes work in this pattern? pipeline-1297141
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railways | — | intermediate | |
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Pipes A, B and C can fill a tank in 15, 30 and 40 hours, respectively. Pipes A, B and C are opened at 6 a.m., 8 a.m. and 10 a.m., respectively, on the same day. When will the tank be full? pipeline-1291722
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railways | — | intermediate | |
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Pipe A is a filling pipe, while B and C are emptying pipes. Pipe A alone can fill a tank in 10 hours and pipe B alone can empty two third part of the tank in 20 hours. If all three pipes are opened together, the tank is completely filled in 40 hours. In how many hours can pipe C alone empty two-third part of the tank? pipeline-1291830
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railways | — | intermediate | |
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Three pipes P, Q and R, together take four hours to fill a tank. All the three pipes were opened at the same time. After three hours, P was closed, and Q and R filled the remaining tank in two hours. How many hours will P alone take to fill the tank? pipeline-1289675
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railways | — | intermediate | |
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A tank can be filled by pipe A in 4 hours and pipe B in 6 hours. At 8:00 a.m., pipe A was opened. At what time will the tank be filled if pipe B is opened at 9:00 a.m.? pipeline-1289820
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railways | — | intermediate | |
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Two pipes, A and B, can fill a tank in 20 and 30 hours, respectively. Both pipes are opened to fill the tank, but when the tank is one-third full, a leak develops through which one-fourth of the water supplied by both pipes goes out. Find the total time (in hours) taken to fill the tank. pipeline-1289576
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railways | — | intermediate | |
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Three pipes P, Q, and R can fill a cistern in 40 minutes, 80 minutes, and 120 minutes, respectively. Initially, all the pipes are opened. After how much time (in minutes) should the pipes Q and R be turned off so that the cistern will be completely filled in just half an hour? pipeline-1290956
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railways | — | intermediate | |
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Pipe A can fill a tank in 165 minutes, Pipe B can fill the same tank in 99 minutes and Pipe C can empty the same tank in 66 minutes. If all three pipes are opened simultaneously, how many minutes will it take to fill the empty tank? pipeline-1269564
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railways | — | intermediate | |
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Two pipes A and B can fill a tank in 48 minutes and 66 minutes, respectively. If both the pipes are opened simultaneously, then after how many minutes should pipe B be closed so that the tank gets filled in 32 minutes? pipeline-1286903
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railways | — | intermediate | |
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A and B pipes can fill a tank in 10 and 20 minutes, respectively. Pipe C can empty the tank in 30 minutes. All three pipes are opened at a time in the beginning. However, pipe C is closed 2 minutes before the tank is filled. At what time will the tank be full (in minutes)? pipeline-1272238
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railways | — | intermediate | |
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Pipe A alone can fill a tank in 8 hours. Pipe B alone can fill it in 6 hours. If both the pipes are opened and after 2 hours Pipe A is closed, then the other pipe will fill the tank in ____ hours. pipeline-1273209
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railways | — | intermediate | |
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Each inlet pipe can fill an empty cistern in 84 hours while each drain pipe can empty the same cistern from a filled condition in 105 hours. When the cistern is empty, 9 inlet pipes and 10 outlet pipes are simultaneously opened. After how many hours will the cistern be completely filled? pipeline-1269670
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railways | — | intermediate | |
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A cistern can be filled by two pipes in 8 minutes and 10 minutes, separately. Both the pipes are opened together for a certain time, but due to an obstruction, only 5/8 of the full quantity of water flowed through the former pipe and 3/5 through the latter pipe. However, the obstruction was suddenly removed, and the cistern was filled in 3 minutes from that moment. How long did it take before the full flow began? pipeline-1263129
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railways | — | intermediate | |
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When operated separately, pipe A takes 5 hours less than pipe B to fill a cistern, and when both pipes are operated together, the cistern gets filled in 6 hours. In how much time ( in hours) will pipe B fill the cistern, if operated separately? pipeline-1360774
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railways | — | intermediate | |
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Pipes A and B can fill a tank in 20 hours and 30 hours, respectively, and pipe C is an outlet pipe. If all three pipes are opened together, it takes 1\(1\over3\) hour more than the time taken by A and B together to fill the tank. A and B are opened together for 7 hours, then both are closed, and C is opened. Now C can empty the tank in: pipeline-1267403
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railways | — | intermediate | |
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Two inlet pipes can fill an empty tank in 21 and 24 hours and one outlet pipe can empty the tank in 42 hours. If all the pipes opened simultaneously then, how many hours are required to fill the full tank? pipeline-1360561
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railways | — | intermediate | |
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Raghu’s tanker can fill a cistern in 4 hours. After half the cistern is filled, three more similar tankers are opened. What is the total time taken to fill the cistern completely? pipeline-1045177
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railways | — | intermediate | |
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A pipe can fill a sump with water in 2 hours. Because of a leak, it took 2\(\frac{2}{3}\) hours to fill the sump. The leak can drain all the water of the sump in: pipeline-1045378
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railways | — | intermediate | |
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Pipes A and B, when working together, can fill an empty tank in 8 hours. If B is stopped after 2 hours, it will take a total of 11 hours to fill the tank. How long would it take A to fill the empty tank alone ? pipeline-1043373
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railways | — | intermediate | |
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Pipes A and B can empty a full tank in 16 hours and 24 hours, respectively. Pipe C alone can fill the empty tank in 4 hours. If A,B and C are opened together, the tank will be 35% full after: pipeline-1040709
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railways | — | intermediate | |
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Two pipes can fill a cistern in 3 hours and 4 hours respectively while a 3rd pipe can drain the cistern empty in 8 hours. All the three pipes were opened together when the cistern was 1/12 full. How long did it take for the system to be completely full? pipeline-1040552
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railways | — | intermediate | |
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Two taps A and B can fill a bathtub in 42 minutes and 48 minutes respectively. If the drain valve is open they can together fill in 50 minutes. Find the time in which the valve of drain can empty the bathtub. (approx.) pipeline-1040125
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railways | — | intermediate | |
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Three pipes A, B, and C can fill a cistern in 270 hours. After working together for 90 hours, C is closed, and then A and B fill the remaining part in 270 hours number of hours taken by C required to fill the cistern. pipeline-1029847
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railways | — | intermediate | |
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A tank is filled in 4 hours by three pipes. A , B and . Pipes C is \(1\frac{1}{2}\)times as fast as B and B is 3 times as fast as A. How many hour will pipe A alone take to fill the tank ? pipeline-1036636
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railways | — | intermediate | |
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A hole in a tank can empty the tank in 5 hours so the owner upgraded the pipe, now the new pipe can fill the tank in 3 hours only. How many hours extra would it take to fill the tank compared to when the tank has no hole? pipeline-1037297
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railways | — | intermediate | |
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A pipe P can fill an empty tank in 12 hr and another pipe Q can empty a full tank in 18 hr. Find the time taken to fill an empty tank if pipe P opens for first hour and then Q opens for next hour. pipeline-848581
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railways | — | intermediate | |
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A pipe can empty a tank in 15 hrs and another pipe can fill it in 10 hrs. If both pipes are opened simultaneously, find the time in which the tank can be filled. pipeline-1352843
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ssc | — | intermediate | |
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A tap can fill a cistern in 10 minutes and another tap can empty it in 12 minutes. If both the taps are open, the time (in hours) taken to fill the tank will be: pipeline-1201804
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ssc | — | intermediate | |
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Pipe A can fill a tank in 12 hours. Pipe B can fill the same tank in 16 hours. Pipe C can empty the full tank in 24 hours. Pipe A, B and C are opened alternatively for 1 hour each. If B is opened first, then how many hours will they take to fill the empty tank? pipeline-1347245
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ssc | — | intermediate | |
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A cistern has a leak which would empty it in 6 hours. A tap is turned on which admits 10 litres of water per minute into the cistern. When it is full it now emptied in 10 hours. What is the capacity (in litres) of the cistern? pipeline-1346831
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ssc | — | intermediate | |
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Two taps A and B can fill a bathtub in 42 minutes and 48 minutes respectively. If the drain valve is open they can together fill in 50 minutes. Find the time in which the valve of drain can empty the bathtub. (approx.) pipeline-1341017
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ssc | — | intermediate | |
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Two pipes can fill a tank in 15 hours and 4 hours respectively, while a third pipe can empty it in 12 hours, How long (in hours) will it take to fill the empty tank if all three pipes are opened simultaneously? pipeline-1344601
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ssc | — | intermediate | |
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A cistern filled in 30 hours by three pipes A, B and C. The pipe C is thrice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank? pipeline-1192488
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ssc | — | intermediate | |
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A hole in a tank can empty the tank in 5 hours so the owner upgraded the pipe, now the new pipe can fill the tank in 3 hours only. How many hours extra would it take to fill the tank compared to when the tank has no hole? pipeline-1199892
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ssc | — | intermediate | |
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Two inlet pipes can fill an empty tank in 21 and 24 hours and one outlet pipe can empty the tank in 42 hours. If all the pipes opened simultaneously then, how many hours are required to fill the full tank? pipeline-1193725
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ssc | — | intermediate | |
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Two pipes can fill a tank in 12 hours and 18 hours, respectively, while a third pipe can empty it in 8 hours. How long (in hours) will it take to fill the empty tank if all three pipes are opened simultaneously? pipeline-1202083
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ssc | — | intermediate | |
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One pipe can fill a tank 6 times faster than another pipe. If both the pipes together can fill the tank in 40 minutes, then in how many minutes will the slower pipe alone be able to fill the tank? pipeline-1200553
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ssc | — | intermediate | |
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Pipe A can fill a tank in 12 minutes, pipe B can fill it in 18 minutes and pipe C can empty the full tank in 36 minutes. If all the pipes are opened simultaneously, how much time will it take to fill the empty tank completely? pipeline-1201270
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ssc | — | intermediate | |
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Pipes A and B can fill a tank in 12 hours and 18 hours, respectively, whereas Pipe C can empty the full tank in 8 hours. A and B are opened for \(4\frac{1}{2}\) hours and then closed. C alone will empty the tank in (in h) pipeline-1192099
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ssc | — | intermediate | |
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Pipes A and B can empty a full tank in 15 hours and 18 hours, respectively. Pipe C alone can fill the tank in 6 hours. If all three pipes are opened together, then two-thirds of the tank will be full after: pipeline-1163035
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ssc | — | intermediate | |
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Out of three pipes the first two can fill an empty tank in 9 and 18 hours, respectively, while the third can drain the filled tank in 15 hours. If all three pipes are opened when the tank is empty, after how many hours will the tank be full? pipeline-1200465
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ssc | — | intermediate | |
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A tank can be filled by pipe A in 4 hours and pipe B in 6 hours. At 8:00 a.m., pipe A was opened. At what time will the tank be filled if pipe B is opened at 9:00 a.m.? pipeline-1199724
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ssc | — | intermediate | |
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Two pipes A and B can fill a tank in 48 minutes and 66 minutes, respectively. If both the pipes are opened simultaneously, then after how many minutes should pipe B be closed so that the tank gets filled in 32 minutes? pipeline-1201192
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ssc | — | intermediate | |
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Pipes A and B can fill a tank in 15 hours and 25 hours, respectively, whereas pipe C can empty the full tank in 40 hours. All three pipes are opened together, but pipe A is closed after 5 hours. After how many hours will the remaining part of the tank be filled? pipeline-1201717
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ssc | — | intermediate | |
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Pipe A usually fills a tank in 6 hours. But due to a leak at the bottom of the tank, it takes extra 2 hours to fill the tank. If the tank is full, then how much time will it take to get emptied due to the leak? pipeline-1201995
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ssc | — | intermediate |