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Pipes A and B fill a tank in 10 hours, B and C in 15 hours, and A and C in 12 hours. How long would C alone take?

Competition practicePipes & Cisterns

A30 h
B40 h
C24 h
D8 h

Step-by-Step Solution

Adding the pairs:

2 (A + B + C) = \frac{1}{10} + \frac{1}{15} + \frac{1}{12} = \frac{1}{4}

, so

A + B + C = \frac{1}{8} . C = \frac{1}{8} - \frac{1}{10} = \frac{1}{40}

→ 40 h. (24 h is

B

; 8 h is all three.)

Answer: B) 40 h

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