# SOLUTION: Sam I Am is filling his pool at a rate of 3.2 ft per minute. At the same time, Peter Piper has 16 ft. of water in his pool and is emptying it at a rate of 1.6 ft. per minute. When

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: Sam I Am is filling his pool at a rate of 3.2 ft per minute. At the same time, Peter Piper has 16 ft. of water in his pool and is emptying it at a rate of 1.6 ft. per minute. When       Log On

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 Click here to see ALL problems on Linear Equations And Systems Word Problems Question 287514: Sam I Am is filling his pool at a rate of 3.2 ft per minute. At the same time, Peter Piper has 16 ft. of water in his pool and is emptying it at a rate of 1.6 ft. per minute. When will they have the same amount of water?Answer by ptaylor(2052)   (Show Source): You can put this solution on YOUR website!Let x=number of minutes that elapses before they each have the same amount of water in their pools After x minutes, SamIAm has 3.2x feet of water After x minutes, Peter has 16-1.6x feet of water So, when 3.2x equals 16-1.6x, they will both have the same amount of water Our equation to solve then is: 3.2x=16-1.6x add 1.6x to each side 3.2x+1.6x=16 4.8x=16 x=3 1/3 or 10/3 min CK in 10/3 min, SamIAm has (10/3)*3.2= 10 2/3 feet of water in 10/3 min, Peter has 16-(10/3)*1.6=16-5 1/3 =10 2/3 feet of water Hope this helps---ptaylor