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

Question 1189916: The Allen family and the Phillips family each used their sprinklers last summer. The water output rate for the Allen family's sprinkler was 25L per hour. The water output rate for the Phillips family's sprinkler was 30L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1550L. How long was each sprinkler used?

Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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The Allen family and the Phillips family each used their sprinklers last summer.
The water output rate for the Allen family's sprinkler was 25L per hour.
The water output rate for the Phillips family's sprinkler was 30L per hour.
The families used their sprinklers for a combined total of 55 hours,
resulting in a total water output of 1550L. How long was each sprinkler used?
~~~~~~~~~~~~

x = Allen's family hours

Other family hours (55-x).


Total water output equation

    25x + 30*(55-x) = 1550  liters.


From the equation

    x =  = 20.


ANSWER. A's family: 20 hours. P's family 55-20 = 35 hours.


CHECK.  20*25 + 35*30 = 1550 liters, total water output.   ! Correct !

Solved.

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- The Robinson family and the Sanders family each used their sprinklers last summer
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