Question : A can do a piece of work in 5 days and B in 4 days. How long will they take to do the same work when working together?

Option 1: $9$ days

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

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

Option 4: $3\frac{2}{9}$ days

Question : A, B, and C can do a piece of work in 10, 20, and 30 days, respectively. In how many days can A do the work if he is assisted by B and C on every third day?

Option 1: 9 days

Option 2: $8 \frac{5}{11}$ days

Option 3: $8 \frac{2}{11}$ days

Option 4: $6 \frac{5}{11}$ days

Question : A can do one and a half as much work as B can do in one day. B alone can do a piece of work in 18 days. They together can finish that work in:

Option 1: $10\frac{1}{5}$ days

Option 2: $11\frac{1}{5}$ days

Option 3: $5\frac{1}{5}$ days

Option 4: $7\frac{1}{5}$ days

Question : A alone can do $\frac{1}{4}$th part of the work in 12 days. B alone can do $\frac{1}{5}$th part of the work in 4 days. In how many days can A and B together can do the same work?

Option 1: $\frac{330}{13}$ days

Option 2: $\frac{240}{17}$ days

Option 3: $\frac{210}{4}$ days

Option 4: $\frac{255}{7}$ 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