Question : P and Q together can complete a piece of work in 6 days. If P can alone complete the work in 18 days, the number of days required for Q to finish the work is:
Option 1: 10 days
Option 2: 8 days
Option 3: 11 days
Option 4: 9 days
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Correct Answer: 9 days
Solution :
P and Q together can complete a task in 6 days.
P can alone complete the work in 18 days.
Work done by P in 1 day = $ \frac{1}{18}$
$\therefore$ Work done by Q in 1 day = $\frac{1}{6} – \frac{1}{18}= \frac{3 – 1}{18} = \frac{2}{18} = \frac{1}{9}$th of the work
So, Q can complete the task in 9 days.
Hence, the correct answer is 9 days.
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