Question : Three pipes A, B, and C can fill a tank in 6 hours, 9 hours, and 12 hours, respectively. B and C are opened for half an hour, and then pipe A is opened. The time taken by the three pipes together to fill the remaining part of the tank is:

Option 1: $3\ \text{hours}$

Option 2: $2\ \text{hours}$

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

Option 4: $3\frac{1}{2}\ \text{hours}$

Question : Pipes A and B together can fill a tank in 10 hours. Pipes B and C together can fill the same tank in 12 hours. Pipes A and C together can fill the same tank in 15 hours. In how many hours can pipe B alone fill the same tank?

Option 1: $\frac{120}{7}$ hours

Option 2: $15$ hours

Option 3: $\frac{120}{11}$ hours

Option 4: $\frac{155}{13}$ hours

Question : Pipe P alone can fill a tank in 18 hours and Pipe Q alone can fill the same tank in 24 hours. If both the pipes are opened on alternate hours one at a time and pipe Q is opened for the first hour, then in how much time the tank will be full?

Option 1: $\frac{64}{5}$ hours

Option 2: $\frac{78}{5}$ hours

Option 3: $20$ hours

Option 4: $\frac{62}{3}$ hours

Question : Two pipes can fill a tank alone in 20 hours and 24 hours respectively and an outlet pipe alone can empty 20 gallons of water per hour. All three pipes working together can fill the same empty tank in 40 hours. What is the capacity of the tank?

Option 1: 450 gallons

Option 2: 300 gallons

Option 3: 600 gallons

Option 4: 480 gallons

Question : Pipe A can fill an empty tank in 30 hours and B can fill it in 10 hours. Due to a leakage in the tank, it takes pipes A and B together 1.5 hours more to fill completely than it would have otherwise taken. What is the time taken by the leakage alone to empty the same tank completely, starting when the tank is completely full?

Option 1: 42 hours

Option 2: 40 hours

Option 3: 36 hours

Option 4: 45 hours

Question : Pipes P and Q can fill a tank in 12 hours and 36 hours, respectively. If both pipes are opened, then how much time (in hours) will it take to fill the tank?

Option 1: 9

Option 2: 8

Option 3: 10

Option 4: 7