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A, B and C can complete a piece of work in 12, 24 and 36 days respectively. In how many days will they together complete the same work?

August 30, 2016 Quiz Questions

A, B and C can complete a piece of work in 12, 24 and 36 days respectively. In how many days will they together complete the same work?
[A]4\ days
[B]5\frac{6}{11}\ days
[C]6\ days
[D]6\frac{6}{11}\ days

\mathbf{6\frac{6}{11}\ days}
(A + B + C)’s 1 day’s work = \frac{1}{12}+\frac{1}{24}+\frac{1}{36}
= \frac{6+3+2}{72} = \frac{11}{72}
∴ (A + B + C) together will complete the work in \frac{72}{11}= 6\frac{6}{11}\ days
Hence option [D] is correct answer.

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