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A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

a) $$\frac{1}{{24}}$$ day
b) $$\frac{7}{{24}}$$ day
c) $$3\frac{3}{7}$$  days
d) 4 days

Answer: c
Explanation:
$$\eqalign{ & (A + B + C)’s\,1\,{\text{day’s work}} \cr & = {\frac{1}{{24}} + \frac{1}{6} + \frac{1}{{12}}} = \frac{7}{{24}} \cr} $$
So, all the three together will complete the job in
$$ {\frac{{24}}{7}} {\text{ days}} = 3\frac{3}{7}{\text{ days}}$$

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