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Tap A and tap B are opened alternately on an empty tank, one hour each, starting with A, as shown. How long does the tank take to fill?

Class 8Leaks and Changing PipesDirect and Inverse Proportions

A4 2/3 h
B5 h
C2 2/5 h
D4 1/3 h

Step-by-Step Solution

Every 2 hours:

\frac{1}{4} + \frac{1}{6} = \frac{5}{12}

. After 4 h:

\frac{10}{12}

;

\frac{1}{6}

is left and it is A's turn:

\frac{1}{6} \div \frac{1}{4} = \frac{2}{3}

h. Total

4 \frac{2}{3}

h.

Answer: A) 4 2/3 h

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