Question : A can complete a work in 18 days, while B can complete it in 12 days. B worked on it for 4 days. How long will A take to finish the remaining work?
Option 1: 16 days
Option 2: 12 days
Option 3: 14 days
Option 4: 10 days
Correct Answer: 12 days
Solution :
A can complete a work in 18 days.
A's 1 day's work = $\frac{1}{18}$
B can complete it in 12 days.
B's 1 day's work = $\frac{1}{12}$
B's 4 days' work = $\frac{1}{12}×4=\frac{1}{3}$
Work left = $1-\frac{1}{3}=\frac{2}{3}$
A will finish the remaining work in $\frac{\frac{2}{3}}{\frac{1}{18}}=12$ days
Hence, the correct answer is 12 days.
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