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The empty tank has two inlets and one outlet, as shown. All three pipes are opened at the same time. How long does the tank take to fill?

Class 8Leaks and Changing PipesDirect and Inverse Proportions

A3 3/7 h
B1 11/13 h
C12 h
D24 h

Step-by-Step Solution

Per hour:

\frac{1}{6} + \frac{1}{8} - \frac{1}{4} = \frac{4 + 3 - 6}{24} = \frac{1}{24}

of the tank, so 24 h

. (3 \frac{3}{7}

h ignores outlet C;

1 \frac{11}{13}

h wrongly adds C as an inlet.)

Answer: D) 24 h

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