It can take 12 hours to fill a swimming pool using two pipes. If the pipe of larger diameter is used for four hours and the pipe of smaller diameter for 9 hours, only half of the pool can be filled. H

Question

It can take 12 hours to fill a swimming pool using two pipes. If the pipe of larger diameter is used for four hours and the pipe of smaller diameter for 9 hours, only half of the pool can be filled. How long would it take for each pipe to fill the pool separately?

Accepted Answer

Step 1: Let time taken by pipe of larger diameter to fill the tank be $x$ hr. Let time taken by pipe of smaller diameter to fill the tank be $y$ hr
Step 2: A.T.Q: $\frac{1}{x} + \frac{1}{y} = \frac{1}{12}$ and $\frac{4}{x} + \frac{9}{y} = \frac{1}{2}$
Step 3: Solving we get $x = 20$ hr, $y = 30$ hr

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