Question : A pump can fill a tank with water in 1 hour. Because of a leak, it took $1 \frac{1}{3}$ hours to fill the tank. In how many hours can the leak alone drain all the water in the tank when it is full?

Option 1: 5

Option 2: 1

Option 3: 2

Option 4: 4

Question : A pump can fill a tank with water in 3 hours. Because of a leak, it took $3\frac{1}{3}$ hours to fill the tank. In how many hours can the leak alone drain all the water in the tank when it is full?

Option 1: 21

Option 2: 15

Option 3: 30

Option 4: 10

Question : Pipes A and B can empty a full tank in 18 hours and 24 hours, respectively. Pipe C alone can fill the tank in 36 hours. If the tank is $\frac{5}{6}$ full and all the three pipes are opened together, then in how many hours will the tank be emptied?

Option 1: $10 \frac{1}{2}$

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

Option 3: $10$

Option 4: $12$

Question : Two pipes A and B can fill a tank in 6 hours and 8 hours respectively. If both the pipes are opened together, after how many hours should B be closed so that the tank is full in 4 hours?

Option 1: $\frac{2}{3}$ hours

Option 2: $1$ hour

Option 3: $2$ hours

Option 4: $\frac{8}{3}$ 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 : Two pipes A and B can fill a cistern in $12 \frac{1}{2}$ hours and 25 hours, respectively. The pipes are opened simultaneously and it is found that due to a leakage in the bottom, it took 1 hour and 40 minutes more to fill the cistern. When the cistern is full, in how much time will the leak empty the cistern?

Option 1: 45 hours

Option 2: 42 hours

Option 3: 48 hours

Option 4: 50 hours