Question : If A and B together can do a piece of work in 20 days, and A alone can do the same work in 30 days, in how many days can B alone complete the same work?
Option 1: 45
Option 2: 40
Option 3: 60
Option 4: 50
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Correct Answer: 60
Solution : A and B together can do a piece of work in 20 days. Part of the work A and B together can do in 1 day $=\frac{1}{20}$ A alone can do the work in 30 days. Part of the work A can do in 1 day $=\frac{1}{30}$ $\therefore$ Part of the work B alone can do in a day $=\frac{1}{20} – \frac{1}{30} = \frac{1}{60}$ So, B will complete the work in 60 days. Hence, the correct answer is 60 days.
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Question : A and B together can do a job in 15 days and A alone could do the same job in 20 days. How many days would B take to do half the job if he worked alone?
Option 1: 60
Option 2: 30
Option 3: 45
Option 4: 40
Question : A and B together can do a piece of work in 12 days, while A alone can do the same work in 30 days. B alone can do it in:
Option 1: 18 days
Option 2: 20 days
Option 3: 15 days
Option 4: 22 days
Question : M is three times as good a worker as N and together they finish a piece of work in 30 days. In how many days will M alone finish the work?
Option 1: 50
Option 4: 45
Question : A can do a piece of work in 10 days and B can do it in 12 days. They work together for 3 days. Then B leaves and A alone continues. 2 days after that C joins and the work is completed in 2 days more. In how many days can C do it, if he works alone?
Option 1: 30 days
Option 2: 50 days
Option 3: 40 days
Option 4: 60 days
Question : A can complete a piece of work alone in 120 days, while A and B, working together, can complete the same work in 72 days. In how many days can B, working alone, complete this piece of work?
Option 1: 180
Option 2: 200
Option 3: 160
Option 4: 216
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