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A and B can do a job in 72 days, B and C in 120 days, A and C in 90 days. How long would A take alone?

Competition practiceTime & Work / Pipes

A90 days
B180 days
C120 days
D150 days

Step-by-Step Solution

Sum of the three pair-rates:

\frac{5 + 3 + 4}{360} = \frac{1}{30}

, so all three:

\frac{1}{60}

. A

= \frac{1}{60} - \frac{1}{120} = \frac{1}{120}

.

Answer: C) 120 days

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