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In one minute pipe X fills $\frac{1}{12}$ of a tank and pipe Y fills $\frac{1}{24}$ of it. Working together, how long will they take to fill the empty tank?

Competition practicePipes & Cisterns

A8 min
B18 min
C36 min
D6 min

Step-by-Step Solution

\frac{1}{12} + \frac{1}{24} = \frac{3}{24} = \frac{1}{8}

per minute → 8 min. (18 min averages 12 and 24; 36 min adds them.)

Answer: A) 8 min

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