The Taylor family and the Roberts family each used their sprinklers last summer...

Question

The Taylor family and the Roberts family each used their sprinklers last summer. The Taylor family's sprinkler was used for 40

 hours. The Roberts family's sprinkler was used for 20

 hours. There was a combined total output of 2000L

 of water. What was the water output rate for each sprinkler if the sum of the two rates was 65L

 per hour?

Answer 1

40(Taylors Rate) + 20(Roberts Rate) = 2000 L and Roberts Rate+Taylors Rate = 65 L/HR

So 40(65-Roberts Rate) + 20(Roberts Rate) = 2000 L

Solving, we get Robers Rate = 30 L/HR and Taylors Rate = 35 L/HR