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The Lopez family and the Morris family each used their sprinklers last summer. The Lopez family's sprinkler was used for 15 hours. The Morris family's sprinkler was used for 30 hours. There was a combined total output of 1725 L of water. What was the water output rate for each sprinkler if the sum of the two rates was 75 L per hour?

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sqdancefan

Answer:

  • Lopez: 35 L/h
  • Morris: 40 L/h

Step-by-step explanation:

Let m represent the water output rate in liters per hour of the Morris family's sprinkler. Then the output rate of the Lopez family's sprinkler is (75-x) liters per hour. The total quantity of water used is ...

  30m + 15(75 -m) = 1725

  15m +1125 = 1725 . . . . . . . simplify

  15m = 600 . . . . . . . . . . . . . subtract 1125

  m = 40 . . . . . . . . . . . . . . . . divide by 15

The Lopez family's sprinkler output 35 L/h; the Morris family's sprinkler output 40 L/h.

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