Question : A person can do a piece of work in 18 days. He worked at it for 12 days and B finished the remaining work in 8 days. B alone can do the whole work in:
Option 1: 16 days
Option 2: 24 days
Option 3: 28 days
Option 4: 29 days
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Correct Answer: 24 days
Solution : Given: A person can do a piece of work in 18 days. He worked at it for 12 days and B finished the remaining work in 8 days. ⇒ In 1 day A can do $\frac{1}{18}$th part of the work ⇒ In 12 days A can do ($\frac{1}{18}$ × 12) = $\frac{2}{3}$th part of the work Now the remaining work is = (1 – $\frac{2}{3}$) = $\frac{1}{3}$ part So, B finished $\frac{1}{3}$ part of the work in 8 days. $\therefore$ B alone can do the whole work in (8 ÷ $\frac{1}{3}$) = (8 × 3) = 24 days Hence, the correct answer is 24 days.
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