A, B and C together can finish a piece of work in 4 days A alone can do it in 12 days and B in 18 days then C alone can do it in

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21 days

16 days

14 days

9 days

answer is D.

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Detailed Solution

$A + B + C = \frac{1}{4}$

$A = \frac{1}{12}, B = \frac{1}{18}$

$C = \frac{1}{4} - \frac{1}{12} - \frac{1}{18}$

$C = \frac{9 - 3 - 2}{36} = \frac{4}{36} = \frac{1}{9}$

C can do in 9 days.

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