Three pipes X, Y, and Z can fill a tank in 24, 12, and 8 minutes respectively. All three pipes are opened together when the tank is empty. Pipe X fills Solution A, Pipe Y fills solution B, Pipe Z fills solution C. After 4 minutes, what is the proportion of solution C in the tank?

Using the one unit work method, the rates of pipes X, Y, and Z are 1/24, 1/12, and 1/8 of the tank per minute, respectively. In 4 minutes, pipe Z fills 4 times 1/8, which equals 1/2 of the total tank. Because all three pipes are filling the empty tank together without any outlet, the proportion of solution C in the final mixture is exactly the amount of the tank filled by pipe Z. The result is 1/2.

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