Question : A and B can complete a piece of work in 13 and 17 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: $17 \frac{11}{17}$ days

Option 2: $17 \frac{17}{19}$ days

Option 3: $14 \frac{11}{17}$ days

Option 4: $11 \frac{11}{17}$ days

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

Question : A can do $\frac{1}{3}$rd of a piece of work in 32 days, B can do $37 \frac{1}{2}$% of the same work in 24 days, while C can do 60% of the same work in 48 days. B and C together started and worked for x days. After x days, B left and A joined C and together, completed the remaining work in (x + 8) days. If the ratio of the work done by (B + C) together to the work done by (A + C) together is 9 : 11, then what fraction of the same work can be completed by C alone in 3.5x days?

Option 1: $\frac{18}{25}$

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

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

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

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 : A and B can do a piece of work in 45 and 40 days, respectively. They began the work together, but A left after some days and B finished the remaining work in 23 days. A left after:

Option 1: 6 days

Option 2: 9 days

Option 3: 12 days

Option 4: 5 days