Question : A and B working together can do a piece of work in $4\frac{1}{2}$ hours. B and C working together can do it in 3 hours. C and A working together can do it in $2\frac{1}{4}$ hours. All of them begin the work at the same time. Find how much time they will take to finish the piece of work.

Option 1: 3 hours

Option 2: 2 hours

Option 3: 2.5 hours

Option 4: 3.25 hours

Question : A can complete a work in 8 days and B can complete the same work in 11 days. How many days will they take, if both work together?

Option 1: $4 \frac{12}{17}$

Option 2: $5 \frac{12}{19}$

Option 3: $4 \frac{11}{19}$

Option 4: $4 \frac{12}{19}$

Question : X can do a work in 3 days, Y can do three times the same work in 8 days, and Z can do five times the same work in 12 days. If they have to work together for 6 hours a day, then how much time will they take to complete the work?

Option 1: 4 hours

Option 2: 5 hours 20 minutes

Option 3: 4 hours 10 minutes

Option 4: 5 hours

Question : Pipes A and B can fill an empty tank in 6 and 8 hours respectively, while pipe C can empty the full tank in 10 hours. If all three pipes are opened together, then the tank will get filled in:

Option 1: $4 \frac{4}{23}$ hours

Option 2: $6\frac{1}{5}$ hours

Option 3: $5\frac{5}{23}$ hours

Option 4: $7\frac{1}{2}$ hours

Question : A can do $\frac{2}{5}$ of a work in 6 days and B can do $\frac{2}{3}$ of the same work in 12 days. A and B worked together for 6 days. C alone completed the remaining work in 8 days. A and C, working together, will complete the same work in:

Option 1: 9 days

Option 2: 12 days

Option 3: 10 days

Option 4: 8 days