SOLUTION: A garden hose can fill a swimming pool in 3 days, and a larger hose can fill the pool in 2 days. How long will it take to fill the pool if both hoses are used?

Question 107321This question is from textbook College Algebra
: A garden hose can fill a swimming pool in 3 days, and a larger hose can fill the pool in 2 days. How long will it take to fill the pool if both hoses are used? This question is from textbook College Algebra

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
each hose fills some fraction of the pool ... the fraction is the combined time divided by the individual time

example: if a hose took 60 minutes and the combined time was 20 minutes,
... then the hose would have filled 20/60 or 1/3

let x="combined time" ... (x/2)+(x/3)=1 ... multiplying by 6 gives 3x+2x=6
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