Two pumps are connected to an empty tank. Pump X fills the tank with water at a constant rate, while pump Y drains water out of the tank at a constant rate. The two pumps finish filling the tank in four times the duration it would take pump X alone to fill the tank. If pump Y alone can empty a whole tank in 44 minutes, then how many minutes does it take pump X alone to fill the tank?  Choose the correct option
A) 27  B) 30  C) 33  D) 36  E) 39
Let V be the volume of the tank.   Let R be the rate per minute that pump X fills the tank.   Let T be the time it takes pump X to fill the tank.   The rate at which pump Y empties the tank is V/44 per minute.   (R - V/44)*4T=V=RT.   (R-V/44)*4=R   3R=V/11.   R=V/33.   It takes pump X 33 minutes to fill the tank.   The answer is 33.
<result>C</result>
Two pumps are connected to an empty tank. Pump X fills the tank with water at a constant rate, while pump Y drains water out of the tank at a constant rate. The two pumps finish filling the tank in four times the duration it would take pump X alone to fill the tank. If pump Y alone can empty a whole tank in 44 minutes, then how many minutes does it take pump X alone to fill the tank?