SOLUTION: a swimming pool can be filled in 18 hours if water enters a pipe alone, or in 25 hours if filled through a hose alone. if water is entering through the hose and pipe both, how long

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Question 137640: a swimming pool can be filled in 18 hours if water enters a pipe alone, or in 25 hours if filled through a hose alone. if water is entering through the hose and pipe both, how long will it take to fill the pool?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x="time combined" __ (x/18)+(x/25)=1

they each fill some fraction of the pool based on the combined time and their individual time
__ the fractions sum to 1 (the entire pool being filled)

multiplying by 450 (the LCD) __ 25x+18x=450 __ 43x=450 __ x=450/43 __ about 10.5