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

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, X and Y, can fill a cistern in 24 minutes and 32 minutes, respectively. If both the pipes are opened together, then after how much time (in minutes) should Y be closed so that the tank is full in 18 minutes?

Option 1: 10

Option 2: 8

Option 3: 6

Option 4: 5

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