SOLUTION: The Long family and the Taylor family each used their sprinklers last summer. The Long family's sprinkler was used for 20 hours. The Taylor family's sprinkler was used for 30 hours

Algebra ->  Finance -> SOLUTION: The Long family and the Taylor family each used their sprinklers last summer. The Long family's sprinkler was used for 20 hours. The Taylor family's sprinkler was used for 30 hours      Log On


   

Question 1168137: The Long family and the Taylor family each used their sprinklers last summer. The Long family's sprinkler was used for 20 hours. The Taylor family's sprinkler was used for 30 hours. There was a combined total output of 1450 L of water. What was the water output rate for each sprinkler if the sum of the two rates was 55 L per hour?
Answer by ikleyn(52793) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x = the water output rate for the Taylor's family sprinkler, in liters per hour.


Then the water output rate for the Long's family sprinkler is (55-x).


The combined total output equation is


    30x + 20*(55-x) = 1450 liters


From the equation,


    x = %281450-20%2A55%29%2F%2830-20%29 = 35 liters per hour.


ANSWER.  Taylor's family sprinkler output rate is 35 L/hour.

         Long's family sprinkler output rate is 55-35 = 20 L/hour.

Solved.