1.Pipes A, B, and C can fill an empty tank in 30 minutes, 20 minutes, and 10 minutes respectively. If all three pipes are opened simultaneously when the tank is empty, and each pipe delivers a different chemical solution—A delivers solution P, B delivers solution Q, and C delivers solution R—what fraction of the total liquid in the tank after 3 minutes is solution R?
2.Three pipes, A, B, and C, are connected to a tank. Pipe A can fill the tank in 5 hours, pipe B in 6 hours, while pipe C can drain the tank completely in 12 hours. If all three pipes operate simultaneously, how long will it take to fill the tank?
3.Pipe A can fill a tank in 5 hours, pipe B in 10 hours, and pipe C in 30 hours. When all three pipes are opened simultaneously, how long will it take to fill the tank completely?
4.A tank is currently filled to two-fifths of its capacity. Pipe A can fill the tank completely in 10 minutes, while pipe B can drain it entirely in 6 minutes. If both pipes are opened simultaneously, how long will it take to either fill or empty the tank entirely?
5.A single tap can fill a tank in 6 hours. After the tank is half full, three additional identical taps are opened. How long will it take to fill the tank completely?
6.A tank can be filled by one faucet in 4 hours, while another faucet can drain it completely in 9 hours. If both faucets are opened at the same time, how long will it take to fill the tank?
7.Pipe A can fill a tank in 20 minutes, while pipe B takes 30 minutes to fill the same tank. If both pipes operate simultaneously, how many minutes will it take to fill the tank completely?
8.Three pipes A, B, and C fill a tank together in 8 hours. Pipe A fills the tank twice as fast as pipe B, and pipe B fills it twice as fast as pipe C. How long will it take pipe B to fill the tank by itself?
9.Pipe A can fill a tank in 6 hours. However, due to a leak at the bottom, it now takes 9 hours to fill the tank with the pipe running. How long will it take for the leak alone to drain the full tank?
10.Pipe A can fill a tank in 16 minutes, while pipe B can drain it in 24 minutes. If both pipes are opened simultaneously, after how many minutes should pipe B be turned off so that the tank is completely filled in 30 minutes?
11.A tank can be filled by two inlet pipes in 18 minutes and 15 minutes respectively. There is also an outlet pipe that can drain the tank completely in 45 minutes. If all three pipes are opened simultaneously when the tank is empty, how long will it take to fill the tank?
12.If three identical pipes can fill a tank in 8 hours, how long will it take for only two of these pipes to fill the same tank?
13.A tank is connected to three pipes: A, B, and C. Pipe A can fill the tank in 4 hours, pipe B in 5 hours, while pipe C can drain it completely in 2 hours. If pipe A is opened at 1 AM, pipe B at 2 AM, and pipe C at 3 AM, at what time will the tank be empty?
14.Two pipes, A and B, can fill a tank individually in 8 minutes and 24 minutes, respectively. If they are opened alternately for one minute each, how long will it take to fill the tank completely?
15.A pipe can fill a tank in 20 minutes, but the tank has a leak that can drain it completely in 28 minutes. If both the filling pipe and the leak are active simultaneously, how long will it take to fill the tank?
16.A tank that normally fills in 9 hours takes 10 hours to fill due to a leak at the bottom. If the tank is full, how long will it take for the leak alone to empty it?
17.Two pipes, P and Q, can fill a tank in 18 minutes and 24 minutes respectively. If both pipes are opened together, after how many minutes should pipe P be closed so that the tank is exactly full at 12 minutes?
18.Two pipes are working together to fill a reservoir in 12 hours. The faster pipe fills the reservoir 10 hours quicker than the slower one. How long does the faster pipe take to fill the reservoir on its own?
19.Two pipes can fill a tank individually in 20 hours and 30 hours, respectively. When both pipes are opened together, a leak appears in the tank that causes one-third of the water supplied by the pipes to escape. How long will it take to fill the tank completely under these conditions?
20.A pipe can drain two-thirds of a tank in 12 minutes. How much of the tank will be drained in 8 minutes?