SOLUTION: The Stewart family and the James family each used their sprinklers last summer. The water output rate for the Stewart family's sprinkler was 35L per hour. The water output rate for

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The Stewart family and the James family each used their sprinklers last summer. The water output rate for the Stewart family's sprinkler was 35L per hour. The water output rate for      Log On


   

Question 1111988: The Stewart family and the James family each used their sprinklers last summer. The water output rate for the Stewart family's sprinkler was 35L per hour. The water output rate for the James family's sprinkler was 30L per hour. The families used their sprinklers for a combined total of 45 hours, resulting in a total water output of 1500L. How long was each sprinkler used?
Stewart familys sprinkler:____hours
James familys sprinkler:____hours
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = time in hrs the Stewart family
used their sprinkler
+45-+t+ = time in hrs the James family
used their sprinkler
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+35t+%2B+30%2A%28+45+-+t+%29+=+1500+
+35t+%2B+1350+-+30t+=+1500+
+5t+=+1500+-+1350+
+5t+=+150+
+t+=+30+
and
+45+-+t+=+15+
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Stewart family: 30 hrs
James family: 15 hrs