SOLUTION: Together, two pipes can fill a swimming pool in 4 hours. Separately, the smaller pipe requires 6 more hours to fill the pool than the larger pipe. How many hours does it take for e
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-> SOLUTION: Together, two pipes can fill a swimming pool in 4 hours. Separately, the smaller pipe requires 6 more hours to fill the pool than the larger pipe. How many hours does it take for e
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Question 299707: Together, two pipes can fill a swimming pool in 4 hours. Separately, the smaller pipe requires 6 more hours to fill the pool than the larger pipe. How many hours does it take for each pipe alone to fill the pool? Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website! 4/x+4/(x+6)=1
(8(x+3))/(x (x+6)) = 1
(8 (x+3))=(x (x+6))
8x+24=x^2+6x
x^2-2x-24
(x-6)*(x+4)=0
reject x=-4
x=6
one pipe takes 6 hours and the other takes 12
4/6+4/12=1
2/3+1/3=1
