Question : P, Q, and R can complete a piece of work in 9, 12, and 18 days, respectively. Working together, how much work can they complete in one day?
Option 1: $\frac{2}{3}$
Option 2: $\frac{1}{2}$
Option 3: $\frac{1}{3}$
Option 4: $\frac{1}{4}$
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Correct Answer: $\frac{1}{4}$
Solution :
One day work of P $= \frac{1}{9}$
One day work of Q $= \frac{1}{12}$
One day work of R $= \frac{1}{18}$
Work done by all the three in a day
$= \frac{1}{9}+\frac{1}{12}+\frac{1}{18}$
$= \frac{4+3+2}{36}$
$= \frac{9}{36} = \frac{1}{4}$
Hence, the correct answer is $\frac{1}{4}$.
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