Question : A alone can complete a work in 16 days and B alone can complete the same work in 96 days. In how many days both A and B together can complete the same work?

Option 1: $\frac{88}{13}$ days

Option 2: $\frac{96}{7}$ days

Option 3: $\frac{96}{13}$ days

Option 4: $\frac{88}{14}$ days

Question : P alone can do a piece of work in 24 days. Q alone can do it in 30 days and R alone can do it in 20 days. In how many days they can complete it together?

Option 1: 15 days

Option 2: 18 days

Option 3: 8 days

Option 4: 10 days

Question : A and B together complete a work in 20 days, B and C together complete the same work in 30 days, and C and A together complete the same work in 24 days. In how many days A, B, and C together can complete the same work?

Option 1: 8 days

Option 2: 16 days

Option 3: 12 days

Option 4: 15 days

Question : A and B working together can complete a job in 90 days. The ratio of their efficiencies is 3 : 5. In how many days can the faster person complete the job?

Option 1: 90 days

Option 2: 80 days

Option 3: 144 days

Option 4: 118 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