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A and B finish a job in 9 days. B and C finish it in 12 days. A and C finish it in 18 days. How long does B alone take?

Class 8Time and WorkDirect and Inverse Proportions

A12 days
B18 days
C36 days
D14 2/5 days

Step-by-Step Solution

A + B + C = \frac{1}{2} (\frac{1}{9} + \frac{1}{12} + \frac{1}{18}) = \frac{1}{2} \times \frac{9}{36} = \frac{1}{8} . B = \frac{1}{8} - \frac{1}{18} = \frac{5}{72} : 14 \frac{2}{5}

days.

Answer: D) 14 2/5 days

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