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 : A and B can do a piece of work in 5 days and 10 days, respectively. They began the work together but A left after some days and B finished the remaining work in 8 days. After how many days did A leave?

Option 1: $3\frac{1}{8}$

Option 2: $5\frac{1}{8}$

Option 3: $6\frac{1}{8}$

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

Question : A, B, and C can do a piece of work in 30, 20, and 10 days respectively. A is assisted by B on one day and by C on the next day, alternately. How long would the work take to finish?

Option 1: $9 \frac{3}{8}$ days

Option 2: $4 \frac{8}{8}$ days

Option 3: $8 \frac{4}{13}$ days

Option 4: $3 \frac{9}{13}$ days

Question : If 90 men can do a certain job in 16 days, working 12 hours per day, then the part of that work which can be completed by 70 men in 24 days, working 8 hours per day is:

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

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

Option 3: $\frac{7}{9}$

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

Question : A can do a piece of work in 6 days, working 8 hours a day, while B can do the same work in 4 days, working 10 hours a day. If the work has to be completed in 5 days, how many hours do they need to work together in a day?

Option 1: $4$

Option 2: $5\frac{4}{11}$

Option 3: $6\frac{4}{11}$

Option 4: $4\frac{4}{11}$