A tank with a volume of 45 cubic feet has one inlet pipe and 2 outlet pipes. The inlet pipe fills water into the tank at the rate of 5 cubic inches/min and the 2 outlet pipes empty it out at the rates of 14 cubic inches/min and 6 cubic inches/min respectively. If all 3 pipes are opened when the tank is full, how many minutes does it take to empty the tank? (1 foot = 12 inches)  Choose the correct choice from the following.
A) 5184	B) 5276	C) 5368	D) 5460	E) 5552
The tank is emptied at this rate: 14 + 6 - 5= 
<gadget id="calculator">14 + 6 - 5</gadget>
<output>15</output>
15 cubic inches/min   The tank has a volume of  45*12*12*12= 
<gadget id="calculator"> 45*12*12*12</gadget>
<output>77_760</output>
77760 cubic inches.   The time it takes to empty the tank is 77760/15= 
<gadget id="calculator">77760/15</gadget>
<output>5_184</output>
5184 minutes.   The answer is 5184.
<result>A</result>
A tank with a volume of 45 cubic feet has one inlet pipe and 2 outlet pipes. The inlet pipe fills water into the tank at the rate of 5 cubic inches/min and the 2 outlet pipes empty it out at the rates of 14 cubic inches/min and 6 cubic inches/min respectively. If all 3 pipes are opened when the tank is full, how many minutes does it take to empty the tank? (1 foot = 12 inches)