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

Question 1034848: The Moore family and the Bennett family each used their sprinklers last summer. The water output rate for the Moore family's sprinkler was
35L
per hour. The water output rate for the Bennett family's sprinkler was
30L
per hour. The families used their sprinklers for a combined total of
50
hours, resulting in a total water output of
1650L
. How long was each sprinkler used?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the times used by each, m and b. Then we can write
b + m = 50 and
30b + 35m = 1650
Now multiply the top one by 30 and subtract from the bottom one...we get
30b + 35m = 1650
-(30b + 30m = 1500)
---------------------
5m = 150
m = 30 hours for Moore so that
b = 20 hours for Bennett
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