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Two pipes A and B can fill a tank in 6 hrs and 9 hrs respectively when working alone. A third pipe C can empty the same tank in 8 hrs. The pipes are operated such that A and Care open for the first couple of hrs, then again B and C for the next 2 hrs, again A and C for the next 2 hrs, and so on. Operating in such a manner, if 68 litres of water is filled in 30 hrs, then find the volume of the tank.
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A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 m³ . The emptying capacity of the tank is 10 m³ per minute higher than its filling capacity and the pump needs 8 min lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?
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Three taps A, B and C can fill a tank in 12, 15 and 20 hrs, respectively. If A is open all the time and B and C are open for one hour each alternatively, the tank will be filled in
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A bath tube can be filled by a cold water pipe in 20 mins and by a hot water pipe in 30 mins. A person leaves the bathroom after turning on both pipes simultaneously and returns at the moment when the bath tub should be full. Finding however, that the waste pipe has been open, he now closes it. In 3 mins more the bath tub is full. In what time would the waste pipe empty it?
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Pipe A can fill a tank in 3 hrs and 45 mins. 2 hrs after the pipe started filling the empty tank the motor stopped working. What per cent of the tank was left empty?
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Two taps can fill a tank in 12 mins and 18 mins, respectively. Both the taps are kept open for 2 mins and then the tap that fills the tank in 12 min is turned off In how many more mins will the tank be filled?
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Three pipes A, B and C are connected to a tank. These pipes can fill the tank separately in 5 hrs, 10 hrs and 15 hrs, respectively. When all the three pipes were opened simultaneously, it was observed that pipes A and B were supplying water at three -fourths of their normal rates for the 1st his after which they supplied water at the normal rate. Pipe C supplied water at two-thirds of its normal rate for first 2 hrs, after which it supplied at its normal rate. In how much time, tank would be filled?
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One filling pipe A is 6 times faster than second filling pipe B. If B can fill a cistern in 28 mins, then find the time when the cistern will be full if both the pipes are opened together.
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An inlet pipe can fill a tank in 5 firs and an outlet pipe can empty the same tank in 36 hrs, working individually. How many additional number of outlet pipes of the same capacity are required to be opened, so that the tank never over flows?
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Three pipes A, B and C can fill a tank in 20 mins, 10 mins and 30 mins, respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions x, y and z respectively. The proportion of solution in the liquid in the tank after 3 mins is
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Six pipes are fitted to a water tank. Some of these are inlet pipes and the others outlet pipes. Each inlet pipe can fill the tank in 9 hrs and each outlet pipe can empty the tank in 6 hrs. On opening all the pipes, an empty tank is filled in 9 hrs. The number of inlet pipes is
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A cistern can be filled by two pipes filling separately in 12 and 16 mins, respectively. Both pipes are opened together for a certain time but being clogged, only seven -eighths of the full quantity of water flows through the former and only 5/6 through the latter pipe. The obstructions, however, being suddenly removed, the cistern is filled in 3 mins from that moment. How long was it before the full flow began?
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A cistern is normally filled in 8 hrs, but takes two hrs longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in
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A cylindrical overhead tank is filled by two pumps P1 and P2. P1 can fill the tank in 8 hrs while P2 can fill the tank in 12 h. There is a pipe P3 which can empty the tank in 8 hrs. Both the pumps are opened simultaneously. The supervisor of the tank, before going out on a work, sets a timer to open P3 when the tank is half filled so that tank is exactly filled up by the time he is back. Due to technical fault P3 opens when the tank is one third filled. If the supervisor comes back as per the plan what per cent of the tank is still empty?
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A, B, C are pipes attached to a cistern. A and B can fill it in 20 and 30 mins respectively, while C can empty it in 15 mins. If A, B and C are kept in operation successively for one minute each, how soon will the cistern be filled?
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Pipes A and B running together can fill a cistern in 6 mins. If B takes 5 mins more than A to fill the cistern, then the time in which A and B will fill the cistern separately will be respectively
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A certain tank can be filled by pipes A and B separately in 4 and 5 min respectively, whereas pipe C can empty in 3 mins. How long will it take to fill or empty the four- fifths of the full tank, if all the three pipes start together?
- A. 2 5/7 mins to fill
- B. 6 2/7 mins to fill
- C. 6 6/7 mins to fill Correct Answer
- D. 1 5/7 mins to fill
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There is a leak in the bottom of a cistern. Before the leak, it could be filled in 4 1/2 hrs. It now takes 1/2 hrs longer. If the cistern is full, in how much time would the leakage empty the full cistern?
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Two taps A and B can fill a cistern in 12 mins and 15 mins respectively. They are opened together but after a few min, A is turned off and the rest of the cistern is filled by B in 5 mins. After how many mins was A turned off?
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A leak in the bottom of a cistern can empty the tank in 12 hrs. An inlet pipe fills water at the rate of 5 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is emptied in 15 hrs. How many litres does the cistern hold?
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Two pipes A and B fill a swimming pool at constant rates of 10 gallons per minute and 15 gallons per minute, respectively. The pool can be filled in 60 hrs, 40 hrs or 24 hrs depending on, whether pipe A alone, pipe B alone, or both pipes are used. If the pool is filled by using pipe B alone for half the time and using both pipes for half the time, how many hrs does it take to fill the pool?
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A vessel has three pipes connected with it, two to supply liquid and one of draw liquid. The first alone can fill the vessel in 4 1/2 hrs the second in 3 hrs and the third can empty it in 1 1/2 hrs. If all the pipes are opened 2 simultaneously when the vessel is half full, how soon will it be emptied?
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In what time would a cistern be filled by three pipes whose diameters are 2 cm, 3 cm and 4 cm running together, when the largest alone can fill it is 58 mins? The amount of water flowing in each pipe is proportional to the square of its diameter.
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Two taps can fill a tank in 20 mins and 30 mins, respectively. There is an outlet tap at exactly half level of that rectangular tank which can pump out 100 litres of water per minute. If the outlet tap is open, then it takes 24 mins to fill an empty tank. What is the volume of the lank?
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Three -fourths of a tank is full of water. If 5 litres are added to it, then four -fifths of the tank becomes full. What is the capacity of the tank?
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A pipe can fill a cistern in 6 hrs. Due to a leak in its bottom, it is filled in 7 hrs. When the cistern is full, in how much time will it be emptied by the leak?
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A cistern can be filled by pipes A and B in 4 hrs and 6 hrs respectively. When full, the tank can be emptied by pipe C in 8 hrs. If all the taps were turned on at the same time, then the cistern will be full in
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Two pipes can fill a tank in 8 hrs and 12 hrs, respectively whereas an escape pipe can empty it in 6 hrs. lithe three pipes are opened at 1 pm, 2 pm and 3 pm respectively, at what time will the tank be filled?
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Two pipes can fill a cistern in 15 mins and 18 mins respectively. Both the pipes are operating together but 3 mins before the cistern is full, one of the pipes is closed. The cistern will be filled now in
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There are two indentical vessels X and Y. Y is filled with water to the brim and X is empty. There are two pails A and B, such that B can hold half as much water ask One operation is said to be executed when water is transferred from Y to X using A once and water is transferred to Y from X using B once. If A can hold half a litre of water and it takes 40 operations to equate the water level in X and Y, what is the total volume of water in the system?
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A cistern has two taps (which fill it in 12 mins and 15 mins, respectively) and an exhaust tap. When all the three taps are opened together, it takes 20 mins. to fill an empty cistern. How long will the exhaust tap take to empty it?
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Pavan builds an overhead tank in his house, which has three taps attached to it. While the first tap can fill the tank in 12 hrs, the second one takes one and a half times more than the first one to fill it completely. A third tap is attached to the tank which empties it in 36 hrs. Now, one day, in order to fill the tank. Pavan opens the first tap and after two hrs opens the second tap as well. However, at the end of the sixth hour, he realizes that the third tap has been kept open right from the beginning and promptly closes it. What will be the total time required to fill the tank?
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One pipe fills a water tank three times faster than another pipe. If the two pipes together can fill the empty tank in 36 mins, then how much time will the slower pipe alone take to fill the tank?
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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 hrs faster than the first pipe and 4 hrs slower than the third pipe. The time required by the first pipe is
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One fill pipe A is 3 times faster than second fill pipe B and takes 32 mins less than the fill pipe B. When will the cistern be full if both pipes are opened together?
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Pipe A and Pipe B can completely fill a cistern in 8 and 12 hrs, respectively. The two pipes are simultaneously opened but due to a leak at the bottom of the cistern it takes 6 hrs extra to fill the cistern. Find the time in which the leak can empty the full cistern.
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A water tank has three taps A, B and C. Tap A, when opened, can fill the water tank alone in 4 hrs. Tap B, when opened, can fill the water tank alone in 6 hrs and tap C, when opened, can empty the water tank alone in 3 hrs. If tap A, B and C are opened simultaneously, how long will it take to fill the tank completely?
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Three pipes A, B and C are attached to a cistern. A can fill it in 10 mins B in 15 mins, C is a waste pipe for emptying it. After opening both the pipes A and B, a man leaves the cistern and returns when the cistern should have been just full. Finding, however, that the waste pipe had been left open, he closes it and the cistern now gets filled in 2 mins. In how much time the pipe C, if opened alone, empty the full cistern.
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A tank is filled with water through five pipes. The first pipe can fill it in 40 mins. The second, the third and the fourth together can fill it in 10 mins; the second, the third and the fifth fill it in 20 mins; the fourth and the fifth together in 30 mins. In what time will the tank be filled if all the five pipes work simultaneously?
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12 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?
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Two taps can fill a tank in 20 mins and 30 mins respectively. There is an outlet tap at exactly half level of that rectangular tank which can pump out 50 litres of water per minute. If the outlet tap is open, then it takes 24 mins to fill an empty tank. What is the volume of the tank?
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Two pipes A and B can fill a cistern in 12 mins and 15 mins respectively but a third pipe C can empty the full tank in 6 mins. A and B are kept open for 5 mins in the beginning and then C is also opened. In what time will the cistern be emptied?
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A tin of oil was four -fifths full. When six bottles of oil were taken out and four bottles of oil were poured into it, it was three -fourths full. How many bottles of oil can it contain?
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A tank is connected with four pipes A, B, C and D of which two are filling the tank and other two are emptying it. The time taken by A, B, C and D to finish their jobs are 10 hrs, 15 hrs, 20 hrs and 30 hrs, respectively. All four pipes are opened. When the tank was empty, it took 12 hrs to fill it completely. Which two are the outlet pipes?
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Two filling pipes A and B can fill a tank in 30 hrs and 20 hrs respectively. Pipe B alone is kept open for half the time and both pipes are kept open for the remaining time. In how many hrs, will the tank be completely full?
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Pipes A and B can fill a tank in 5 and 6 hrs, respectively. Pipe C can empty it in 12 hrs. The tank is half full. All the three pipes are in operation simultaneously. After how much time the tank will be full?
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Two pipes can fill a cistern in 14 hrs and 16 hrs respectively, the pipes are opened simultaneously and it is found that due to leakage in the bottom, 32 min extra are taken for the cistern to be filled up. If the cistern is full, in what time would the leak empty it?
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A leak in the bottom of a tank can empty the full tank in 8 hrs. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hrs. How many litres does the cistern hold?
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A steady stream flows into a cistern partly full which has a number of equal holes at the bottom. If 12 holes are opened, the cistern is emptied in 4 hrs and if 10 holes are opened the cistern is emptied in 8 hrs. How many holes should be opened so as to empty the cistern in 2 hrs?
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Two pipes P and Q can fill a cistern in 3 and 6 mins, respectively, while an empty pipe R can empty the cistern in 4 min. All the three pipes are opened together and after 2 min pipe R is closed. Find when the tank will be full.
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