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In the figure, A and B are opened on the empty tank at 6 a.m., and outlet C is opened at 8 a.m. At what time will the tank be full?

Competition practicePipes & Cisterns

A8:24 a.m.
B9 a.m.
C12 noon
D10 a.m.

Step-by-Step Solution

By 8 a.m.:

2 (\frac{1}{4} + \frac{1}{6}) = \frac{5}{6}

. Then net

\frac{1}{4} + \frac{1}{6} - \frac{1}{3} = \frac{1}{12}

per hour;

\frac{1}{6}

takes 2 h → 10 a.m. (8:24 a.m. ignores C.)

Answer: D) 10 a.m.

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