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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Question : A and B together can complete a piece of work in 12 days. They worked together for 5 days and then A alone finished the rest of the work in 14 days. A single person can complete the work in:
Option 1: 24 days
Option 2: 22 days
Option 3: 20 days
Option 4: 18 days
Question : A and B together can do a piece of work in 12 days. A alone can do it in 18 days. In how many days B alone can do the work?
Option 1: 36 days
Option 3: 32 days
Option 4: 30 days
Question : A and B together can do a piece of work in 6 days and A alone can do it in 9 days. The number of days B will take to do it alone is:
Option 1: 18 days
Option 3: 9 days
Option 4: 12 days
Question : A can finish a work in 20 days and B can complete the same work in 15 days. B worked for 9 days and left the job. In how many days can A alone finish the remaining work?
Option 1: 10 days
Option 2: 8 days
Option 4: 7 days
Question : A and B together can do a piece of work in 36 days and B and C together can do it in 24 days. A and C together can do it in 18 days. The three working together can finish the work in:
Option 1: 8 days
Option 2: 16 days
Option 3: 30 days
Option 4: 32 days
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