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, 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]$latex 4\ days$
[B]$latex 5\frac{6}{11}\ days&s=1$
[C]$latex 6\ days$
[D]$latex 6\frac{6}{11}\ days&s=1$
$latex \mathbf{6\frac{6}{11}\ days}&s=1$
(A + B + C)’s 1 day’s work $latex = \frac{1}{12}+\frac{1}{24}+\frac{1}{36}&s=1$
$latex = \frac{6+3+2}{72} = \frac{11}{72}&s=1$
∴ (A + B + C) together will complete the work in $latex \frac{72}{11}= 6\frac{6}{11}\ days&s=1$
Hence option [D] is correct answer.
