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, 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 and B can do a piece of work in 5 days and 10 days, respectively. They began the work together but A left after some days and B finished the remaining work in 8 days. After how many days did A leave?

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

Option 2: $5\frac{1}{8}$

Option 3: $6\frac{1}{8}$

Option 4: $\frac{2}{3}$

Question : Raju, Shobh, and Mohan can do a work in 15 days, 20 days and 25 days respectively. In how many days, will the work be finished, if they do it on alternate days, starting from Raju?

Option 1: $15 \frac{9}{10}$ days

Option 2: $18 \frac{7}{10}$ days

Option 3: $21 \frac{7}{10}$ days

Option 4: $18 \frac{9}{10}$ days

Question : A, B, and C can complete a piece of work separately in 10, 20, and 40 days, respectively. In how many days will the work be completed if A is assisted by both B and C on every third day?

Option 1: $8\frac{2}{7}$

Option 2: $9$

Option 3: $10 \frac{2}{3}$

Option 4: $6$

Question : A, B, and C can do a piece of work in 30 days, 40 days, and 50 days, respectively. Beginning with A, if A, B, and C do the work alternatively then in how many days will the work be finished?

Option 1: $38 \frac{1}{12}$

Option 2: $36 \frac{1}{2}$

Option 3: $36$

Option 4: $39 \frac{1}{12}$