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 : A alone can do a piece of work in 10 days. B alone can do the same work in 12 days. They work on alternate days starting with A. In how many days will they complete $\frac{3}{4}$th of the total work?

Option 1: $\frac{47}{3}$ days

Option 2: $\frac{50}{3}$ days

Option 3: $\frac{53}{6}$ days

Option 4: $\frac{49}{6}$ days

Question : A piece of work can be completed by P and Q together in 24 days, and the same piece of work can be completed by R alone in 60 days. If P and R together can do the same work in 36 days, then find the time taken by Q to complete this piece of work alone.

Option 1: $8\frac{4}{5}$days

Option 2: $29\frac{9}{13}$days

Option 3: $3\frac{6}{7}$days

Option 4: $32\frac{8}{11}$days

Question : X and Y together can do a piece of work in 45 days. If Y alone can complete it in 180 days, then in how many days X alone can complete the work?

Option 1: 90 days

Option 2: 40 days

Option 3: 60 days

Option 4: 80 days

Question : Riya alone can complete a piece of work in 6 days while Siya alone can do the same work in 9 days. If they both work together, then how many days will be required to finish the work?

Option 1: $\frac{45}{13}$

Option 2: $\frac{18}{5}$

Option 3: $\frac{33}{17}$

Option 4: $\frac{55}{16}$