Question : P and Q together complete a job in $4 \frac{2}{5}$ days. R and S complete the same job in $4 \frac{8}{9}$ days. If P, Q, R, and S work together, how many days do they need to complete the same job?

Option 1: $2 \frac{7}{18}$

Option 2: $1 \frac{7}{18}$

Option 3: $1 \frac{6}{19}$

Option 4: $2 \frac{6}{19}$

Question : P, Q, and R can complete a piece of work in 10 days, 15 days, and 20 days, respectively. If they work together, in how many days can they finish the same work?

Option 1: $4 \frac{8}{13}$

Option 2: $4 \frac{3}{7}$

Option 3: $4 \frac{7}{13}$

Option 4: $4 \frac{5}{7}$

Question : P, Q, and R can finish a work in 5 days, 10 days, and 15 days, respectively, working alone. P and Q work on the first day, P and R work on the second day, P and Q work on the third day and so on till the work is completed. In how many days the work will be completed?

Option 1: $\frac{13}{2}$

Option 2: $\frac{9}{2}$

Option 3: $\frac{7}{2}$

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

Question : A and B working separately can complete a piece of work in 10 and 16 days, respectively. If they work for a day alternately, with A beginning the work, in how many day (s) will the work be completed?

Option 1: $10 \frac{1}{4}$

Option 2: $12 \frac{1}{4}$

Option 3: $1\frac{1}{4}$

Option 4: $\frac{1}{4}$

Question : X and Y can complete a work in 9 days and 36 days, respectively. X begins to do the work and they work alternately one at a time for one day each. The whole work will be completed in:

Option 1: $12\frac{1}{2}$ days

Option 2: $14\frac{1}{4}$ days

Option 3: $13\frac{1}{3}$ days

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