A pump can fill a tank with water in $2$ hours. Because of a leak, it took $2\frac{1}{3}$ hours to fill the tank. The leak can drain all the water of the tank in :

A) $4\frac{1}{3}$

B) 7 hrs

C) 8 hrs

D) 14 hrs


A water tank is $\frac{2}{5}$ full. Pipe $A$ can fill a tank in $10$ minutes and pipe $B$ can empty it in $6$ minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?

A) 6 min. to empty

B) 6 min. to fill

C) 9 min. to fill

D) None of these


Two pipes A and B can fill a tank in 24 min. and 32 min. respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 minutes ?

A) 10 min

B) 15 min

C) 5 min

D) 7 min

E) 8 min


Two pipes $A$ and $B$ can fill a tank in $36$ min and $45$ min respectively. A water pipe $C$ can empty the tank in $30$ min. First $A$ and $B$ are opened. After $7$ minutes, $C$ is also opened. In how much time, the tank is full ?

A) 30 minutes

B) 40 minutes

C) 46 minutes

D) 39 minutes

E) 50 minutes


Two pipes can fill a cistern in $14$ hours and $16$ hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom it took $32$ minutes more to fill the cistern. When the cistern is full, in what time will the leak empty it ?

A) 100 hours

B) 112 hours

C) 150 hours

D) 160 hours

E) 180 hours