Question : P can fill a tank in 5 hours, and Q can fill the same tank in 10 hours. R can empty the same tank in 20 hours. How much time will all the three take together to fill the same tank?

Option 1: 10 hours

Option 2: 4 hours

Option 3: 6 hours

Option 4: 5 hours

Question : Three pipes A, B, and C can fill a tank in 6 hours. After working together for 2 hours, C is closed and A and B fill the tank in 8 hours. The time (in hours) in which the tank can be filled by pipe C alone is:

Option 1: 10

Option 2: 12

Option 3: 8

Option 4: 9

Question : A pipe can fill a tank in 24 hours. Due to a leakage at the bottom, it is filled in 36 hours. If the tank is half full, how much time will the leak take to empty the tank?

Option 1: 48 hours

Option 2: 72 hours

Option 3: 36 hours

Option 4: 24 hours

Question : Pipe X can fill a tank in 20 hours and pipe Y can fill the tank in 35 hours. Both the pipes are opened at alternate hours. If pipe Y was opened first, then how much time (in hours) does it take to fill the tank?

Option 1: $\frac{269}{11}$

Option 2: $\frac{286}{11}$

Option 3: $\frac{179}{7}$

Option 4: $\frac{172}{7}$

Question : If two pipes function simultaneously, a tank is filled in 12 hours. One pipe fills the tank 10 hours faster than the other. How many hours does the faster pipe alone take to fill the tank?

Option 1: 20 hours

Option 2: 18 hours

Option 3: 15 hours

Option 4: 12 hours

Question : An inlet pipe can fill an empty tank in 51 hours while an outlet pipe drains a filled tank in 76.5 hours. If both the pipes are opened simultaneously when the tank is empty, in how many hours will the tank get filled?

Option 1: 178.5

Option 2: 127.5

Option 3: 102

Option 4: 153