Question : Abha and Anuj working together completed a job in $\frac{40}{9}$ days. If Abha had worked twice as efficiently as she actually did and Anuj had worked $\frac{1}{3}$ of his actual efficiency, then the work would have been completed in $\frac{60}{17}$ days. Find the time Abha would take to complete the work alone.

Option 1: 10 days

Option 2: 8 days

Option 3: 12 days

Option 4: 6 days

Question : A alone can do a work in 14 days. B alone can do the same work in 28 days. C alone can do the same work in 56 days. They started the work together and completed the work such that B was not working in the last 2 days and A did not work in the last 3 days. In how many days (total) was the work completed?

Option 1: $\frac{82}{7}$ days

Option 2: $\frac{79}{7}$ days

Option 3: $\frac{65}{7}$ days

Option 4: $\frac{72}{7}$ days

Question : A can do $\frac{1}{3}$ of a work in 30 days. B can do $\frac{2}{5}$ of the same work in 24 days. They worked together for 20 days. C completed the remaining work in 8 days. Working together A, B and C will complete the same work in:

Option 1: 15 days

Option 2: 10 days

Option 3: 18 days

Option 4: 12 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 : P can finish a work in 18 days. When he had worked for 5 days, Q joined him. If both of them together completed the remaining work in $\frac{13}{5}$ days, then in how many days can Q alone finish $66 \frac{2}{3}\%$ of the same work?

Option 1: 5

Option 2: 4

Option 3: 2

Option 4: 3

Question : A can do $\frac{1}{4}$th part of a work in 9 days. B can do $\frac{2}{3}$rd part of the same work in 28 days. Working together, in how many days can A and B complete the whole work?

Option 1: $\frac{262}{11}$ days

Option 2: $\frac{252}{13}$ days

Option 3: $\frac{261}{15}$ days

Option 4: $\frac{198}{17}$ days