1.Three taps A, B, and C can fill a tank in 12, 15, and 20 hours respectively. If tap A runs continuously while taps B and C operate alternately for one hour each, how long will it take to fill the tank completely?
2.A tank can be filled by one tap in 4 hours, while another tap can drain it in 9 hours. If both taps are opened at the same time, how long will it take to fill the tank completely?
3.A single tap can fill a tank in 6 hours. Once the tank is half full, three additional identical taps are opened. How long will it take to fill the tank entirely?
4.A large tanker can be filled by pipe A alone in 60 minutes and by pipe B alone in 40 minutes. If pipe B runs for half the total filling time and then both pipes A and B operate together for the remaining half, how long will it take to fill the tanker completely from empty?
5.A tank is filled by two pipes, where the faster pipe fills it three times quicker than the slower one. If both pipes working together fill the tank in 36 minutes, how long will it take the slower pipe alone to fill the tank?
6.A tank usually fills up in 8 hours, but due to a leak at the bottom, it takes 2 hours longer to fill completely. How long will it take for the leak alone to drain the full tank?
7.A tank can be filled by one tap in 2 hours, while another tap can drain the tank in 3 hours. If both taps are opened simultaneously, how long will it take to fill the tank?
8.One tap can fill a tank in 8 hours, while another tap can drain it in 16 hours. If both taps are operated at the same time, how long will it take to fill the tank?
9.Pipes A, B, and C together can fill a tank in 6 hours. After operating all three for 2 hours, pipe C is turned off, and pipes A and B finish filling the tank in 7 more hours. How long will pipe C take to fill the tank by itself?
10.Pipes A and B can fill a tank in 37.5 minutes and 45 minutes respectively. If both pipes are opened together but pipe B is closed after some time, after how many minutes should pipe B be turned off so that the tank fills in exactly 30 minutes?
11.Two inlet pipes can fill a tank in 20 minutes and 24 minutes respectively, while an outlet pipe drains water at a rate of 3 gallons per minute. If all three pipes operate simultaneously and the tank fills in 15 minutes, what is the total capacity of the tank?
12.Three taps A, B, and C can fill a tank individually in 12, 15, and 20 hours respectively. If tap A runs continuously while taps B and C are opened alternately for one hour each, how long will it take to fill the tank completely?
13.A large tanker can be filled by pipe A in 60 minutes and by pipe B in 40 minutes. If pipe B runs alone for half the total filling time and both pipes A and B operate together during the remaining half, how long will it take to fill the tanker completely from empty?
14.Two pipes, A and B, can fill a tank in 15 minutes and 20 minutes respectively. Both pipes are opened simultaneously, but pipe A is closed after 4 minutes. How long will it take in total to fill the tank completely?
15.A tank is filled by three pipes, each delivering water at a constant rate. When the first two pipes work together, they fill the tank in the same amount of time that the third pipe takes to fill it alone. The second pipe fills the tank 5 hours quicker than the first pipe, but 4 hours slower than the third pipe. How long does the first pipe take to fill the tank by itself?
16.Three pipes A, B, and C fill a tank together in 5 hours. Pipe C fills the tank at twice the rate of pipe B, and pipe B fills it at twice the rate of pipe A. How long will pipe A take to fill the tank by itself?
17.A tank is filled by two pipes where one pipe fills it three times faster than the other. If both pipes working together fill the tank in 36 minutes, how long will it take the slower pipe to fill the tank by itself?
18.Pipes A and B working together can fill a tank in 4 hours. If they operate individually, pipe B takes 6 hours longer than pipe A to fill the tank. How long does pipe A require to fill the tank alone?
19.A pump can fill a tank in 2 hours. However, due to a leak, it actually takes 2 hours and 20 minutes to fill the tank. How long will the leak take to empty the full tank on its own?
20.Two pipes, A and B, can fill a tank individually in 60 minutes and 75 minutes respectively. There is a third pipe located at the bottom of the tank that drains it. If all three pipes are opened at the same time, the tank fills up in 50 minutes. How long will it take for the third pipe alone to empty the tank?