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Time and Work

2 pipes P and...

Question

2 pipes P and Q can fill a tank in 18 hours and 22.5 hours respectively. If both are opened simultaneously, how much time will be taken to fill the tank?

A

17.5 hrs

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B

12.5 hrs

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C

20 hrs

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D

10 hrs

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Solution

The correct option is D
10 hrs

$\begin{matrix} P = 18 h o u r s Q = 22.5 h o u r s \end{matrix}$

$\begin{matrix} \frac{1}{P} + \frac{1}{Q} = \frac{P Q}{P + Q} = \frac{18 \times 22.5}{18 + 22.5} = 10 h o u r s \end{matrix}$

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