Question : A can complete a piece of work in 9 days. B and C can complete the same work in 12 days and 18 days respectively. If A, B, and C work together, then in how many days will they complete the work?
Option 1: 10 days
Option 2: 8 days
Option 3: 4 days
Option 4: 15 days
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Correct Answer: 4 days
Solution :
1 day's work of A = $\frac{1}{9}$
1 day's work of B = $\frac{1}{12}$
1 day's work of A = $\frac{1}{18}$
1 day's work of (A + B + C) $=\frac{1}{9}+\frac{1}{12}+\frac{1}{18}=\frac{4+3+2}{36}=\frac{9}{36}$
$\therefore$ So they can complete the whole work in $\frac{36}{9}$ = 4 days
Hence, the correct answer is 4 days.
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