SOLUTION: The Murphy family and the Perez family each used their sprinklers last summer. The water output rate for the Murphy family's sprinkler was 25L per hour. The water output rate f

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Question 1079082: The Murphy family and the Perez family each used their sprinklers last summer. The water output rate for the Murphy family's sprinkler was
25L
per hour. The water output rate for the Perez family's sprinkler was
30L
per hour. The families used their sprinklers for a combined total of
40
hours, resulting in a total water output of
1125L
. How long was each sprinkler used?
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
The rate of Perez family water usage = 25 l/h; the rate of Murphy family water usage = 30 l/h
Let P = the amount of time the Perez family sprinkler was on.
Then 40 - P is the amount of time the Murphy's sprinkler was on.
The total amount of water used is:
25*P + 30(40-P) = 1125
Solving for P gives P = 15 hours
Thus the Murphy family used their sprinkler for 25 hours