Time taken by one tap to fill half the tank = 3hrs.Part filled by the four taps in 1 hour = (4×1/6)= 2/3.Remaining part = (1 - 1/2)= 1/2.Therefore, ‹=› 2/3 : 1/2 :: 1 : x‹=› (1/2×1×3/2)‹=› 3/ 4 hrs i.e 45 mins.So, total time taken = 3 hrs 45 min.
Aptitude
Topic: Pipes and Cisterns
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 ? A. 3 hrs 15 min B. 3 hrs 45 min C. 4 hrs D. 4 hrs 15 min
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A tap can fill the tank in 15 minutes and another can empty it in 8 minutes. If the tank isalready half full and both the taps are opened together, the tank will be:(i) filled in 12 min(ii) emptied in 12 min(iii) filled in 8 min(iv) emptied in 8 min
Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open,in how many hours will the tank be filled ? A. 2 B. 2.5 C. 3 D. 3.5
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2x1/3 hours to fill the tank. The leak can drain all the water of the tank in A. 5 hours B. 7 hours C. 8 hours D. 14 hours
Two pipes can fill a tank in 20 and 24 minutes 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 A. 60 gallons B. 80 gallons C. 120 gallons D. 160 gallons
Two pipes can fill a tank in 10 hours and 12 hours respectively while a third pipe empties the full tank in 20 hours.If all the three pipes operate simultaneously, in how much time will the tank be filled? A. 7 hrs 30 min B. 7 hrs 45 min C. 8 hrs 30 min D. 8 hrs 45 min
A leak in the bottom of a tank can empty the full tank in 8 hours. 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 hours. How many litres does the cistern hold ? A. 7580 B. 7960 C. 8290 D. 8640
Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes ? A. 5/11 B. 6/11 C. 7/11 D. 8/11
Two taps A and B can fill a tank in 5 hours and 20 hours respectively. If both the taps are open then due to a leakage, it took 30 minutes more to fill the tank. If the tank is full, how long will it take for the leakage alone to empty the tank ? A. 8 hrs B. 9 hrs C. 18 hrs D. 36 hrs
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 ? A. 12 min B. 15 min C. 25 min D. 50 min
Pipes A and B can fill a tank in 5 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 A. 1×13/17 hours B. 2×8/11 hours C. 3×9/17 hours D. 4×1/2 hours
12 buckets of water fill a tank when the capacity of each tank is 13.5 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres? A. 8 B. 15 C. 16 D. 18
Two pipes A and B can separately fill a cistern in 60 minutes and 75 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 minutes. In how much time, the third pipe alone can empty the cistern? A. 90 min B. 100 min C. 110 min D. 120 min
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled ? A. 4.5 hrs B. 5 hrs C. 6.5 hrs D. 7.2 hrs
A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ? A. 15 min B. 20 min C. 27.5 min D. 30 min
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 86 minutes, then the slower pipe alone will be able to fill the tank in A. 81 min B. 108 min C. 144 min D. 192 min
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 ? A. 3 hrs 15 min B. 3 hrs 45 min C. 4 hrs D. 4 hrs 15 min
Two pipes A and B can fill a tank in 6 hours and 4 hours respectively. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full ? A. 4 hrs B. 5 hrs C. 7 hrs D. 9 hrs
Three taps A,B and C can fill a tank in 12, 15 and 20 hours respectively.If A is open all the time and B and C are open for one hour each alternatively, the tank will be full in.
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 is10 m3 per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?
A tank is filled by 3 pipes with uniform flow. The first two pipesoperating simultaneously fill the tan in the same time during whichthe tank is filled by the third pipe alone. The 2nd pipe fills the tank5 hours faster than first pipe and 4 hours slower than third pipe. Thetime required by first pipe is :