Question : A, B, and C can do a piece of work in 11 days, 20 days, and 55 days respectively. If B works daily and is supported by A and C on alternate days beginning with A, then in how many days will the work be finished?

Option 1: $10$

Option 2: $9 \frac{1}{3}$

Option 3: $12$

Option 4: $8$

Question : A and B can complete a work in 10 and 16 days respectively. A begins to do the work and they work alternatively one at a time for one day each. The whole work will be completed in:

Option 1: $12 \frac{1}{4}$ days

Option 2: $13 \frac{1}{4}$ days

Option 3: $15 \frac{1}{4}$ days

Option 4: $14 \frac{1}{4}$ days

Question : A, B, and C can do a piece of work in 30, 20, and 10 days respectively. A is assisted by B on one day and by C on the next day, alternately. How long would the work take to finish?

Option 1: $9 \frac{3}{8}$ days

Option 2: $4 \frac{8}{8}$ days

Option 3: $8 \frac{4}{13}$ days

Option 4: $3 \frac{9}{13}$ days

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 and B can do a piece of work in 18 days, B and C in 24 days and A and C in 36 days. Working together, they can do the work in:

Option 1: 12 days

Option 2: 13 days

Option 3: 16 days

Option 4: 26 days