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 : 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 : Two pipes, A and B, can fill a tank in 36 minutes and 45 minutes, respectively. Another pipe, C, can empty the tank in 30 minutes. Initially, pipes A and B are opened. After 7 minutes, pipe C is also opened. The tank is then filled up in:

Option 1: 39 minutes

Option 2: 46 minutes

Option 3: 40 minutes

Option 4: 45 minutes

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 : 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