SOLUTION: The Smith family and the Allen family each used their sprinklers last summer. The Smith family's sprinkler was used for 35 hours. The Allen family's sprinkler was used for 20

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Question 1084537: The Smith family and the Allen family each used their sprinklers last summer. The Smith family's sprinkler was used for
35
hours. The Allen family's sprinkler was used for
20
hours. There was a combined total output of
1000L
of water. What was the water output rate for each sprinkler if the sum of the two rates was
35L
per hour?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
            (liter/hr)   (hours)   (liters)
             RATE        TIME      VOLUME

SMITH         r            35       35r

ALLEN       35-r          20       20(35-r)

Totals       35                       1000

r, the unknown rate for the Smith's family; so 35-r is rate for the Allen family.
highlight_green%2835r%2B20%2835-r%29=1000%29
-
35r%2B700-20r=1000
15r%2B700=1000
15r=300
highlight%28r=20%29

Smith family, 20 liters per hour
Allen family, 15 liters per hour