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 : P, Q, and R can complete a piece of work in 10 days, 15 days, and 20 days, respectively. If they work together, in how many days can they finish the same work?

Option 1: $4 \frac{8}{13}$

Option 2: $4 \frac{3}{7}$

Option 3: $4 \frac{7}{13}$

Option 4: $4 \frac{5}{7}$

Question : P, Q, and R can finish a work in 5 days, 10 days, and 15 days, respectively, working alone. P and Q work on the first day, P and R work on the second day, P and Q work on the third day and so on till the work is completed. In how many days the work will be completed?

Option 1: $\frac{13}{2}$

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

Option 3: $\frac{7}{2}$

Option 4: $\frac{5}{2}$

Question : A, B, and C can do a job in 6 days, 12 days and 15 days respectively. After $\frac{1}{8}$th of the work is completed, C leaves the job. The rest of the work is done by A and B together. The time taken to finish the work is:

Option 1: $5\frac{5}{6}$ days

Option 2: $5\frac{1}{4}$ days

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

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

Question : A, B, and C can do a piece of work in 20, 30, and 60 days, respectively. In how many days can A do the work if he is assisted by both B and C on every third day?

Option 1: 10

Option 2: 15

Option 3: 12

Option 4: 18