SOLUTION: A water tank is being filled by two inlet pipes. Pipe A can fill the tank in half the time it would take pipe B to fill the tank. Both pipes can fill the tank in 6 hours. How long

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Question 767548: A water tank is being filled by two inlet pipes. Pipe A can fill the tank in half the time it would take pipe B to fill the tank. Both pipes can fill the tank in 6 hours. How long does it take to fill the tank using only pipe A?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A water tank is being filled by two inlet pipes. Pipe A can fill the tank in half the time it would take pipe B to fill the tank. Both pipes can fill the tank in 6 hours. How long does it take to fill the tank using only pipe A?
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let x=time pipe A can fill the tank alone
1/x=its work rate
2x=time pipe B can fill the tank alone
1/2x=its work rate
1/6=work rate when both pipes working together
sum of individual work rate=work rate working together
1%2Fx%2B1%2F2x=1%2F6
%282%2B1%29%2F2x=1%2F6
2x=18
x=9
How long does it take to fill the tank using only pipe A? 9 hrs