Question : X alone can complete a piece of work in 16 days, while Y alone can complete the same work in 24 days. They work on alternate days starting with Y. In how many days will 50% of the total work be completed?

Option 1: $\frac{24}{3}$ days

Option 2: $\frac{29}{3}$ days

Option 3: $\frac{32}{3}$ days

Option 4: 9 days

Question : Akbar can complete a piece of work alone in 12 days, while Anthony can complete the same work alone in 20 days. If they work on alternate days with Anthony starting the work, then in how many days can they complete the whole work?

Option 1: $15$ days

Option 2: $16$ days

Option 3: $14 \frac{4}{5}$ days

Option 4: $15 \frac{1}{5}$ days

Question : $\mathrm{N}_1$ alone can do 20% of a piece of work in 6 days, $\mathrm{N}_2$ alone can do 20% of the same work in 4 days, and $\mathrm{N}_3$ alone can do 50% of the same work in 12 days. In how many days can they complete the work, if all of them work together?

Option 1: 10 days

Option 2: $\frac{120}{13}$ days

Option 3: 8 days

Option 4: $\frac{120}{17}$ days

Question : Avi alone can do a piece of work in 60 days while Prakash alone can do it in 80 days. In how many days will they finish it together?

Option 1: $\frac{250}{6}$ days

Option 2: $\frac{270}{6}$ days

Option 3: $\frac{240}{7}$ days

Option 4: $\frac{140}{6}$ days

Question : S alone can do a piece of work in 14 days. T alone can do the same work in 21 days. U alone can do the same work in 28 days. Working together, in how many days will they complete the work?

Option 1: $\frac{84}{13}$ days

Option 2: $\frac{77}{13}$ days

Option 3: $\frac{71}{13}$ days

Option 4: $\frac{87}{13}$ days