Discussion

Question:

There are three pipes A, B and C in a tank. If all the pipes are open together, a tank can be filled in 12 hours. If pipe A can fill the tank in 30 hours and pipe B can fill the tank in 24 hours then at what rate does pipe C work?

Explanation:

Let pipe C can fill the tank in x hours.

When the three pipes are opened together, part of the tank filled in 1 hour = 1/12.

$\frac{1}{30} + \frac{1}{24} + \frac{1}{x} = \frac{1}{12}$

∴ $\frac{1}{x} = \frac{1}{12} - \frac{1}{30} - \frac{1}{24}$

∴ $\frac{1}{x} = \frac{1}{120}$

∴ Pipe C fills the tank in 120 hours.

Hence, option (c).

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