Question

The Henderson family and the Ramirez family each used their sprinklers last summer. The water output rate for the Henderson family's sprinkler was 40 L per hour. The water output rate for the Ramirez family's sprinkler was 35L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 2125 L. How long was each sprinkler used?

Answer 1

Henderson family spent 40 hrs, while Ramirez spent 15 hrs.

Explanation:

Let t = time in hrs the Henderson family used their sprinkler

Let 55 - t = time in hrs the Ramirez family used their sprinkler.

40t+35*(55-t)=2125

40t+1925-35t=2125

calculcate this and you will get t=40.

then 55-40=15.

So, Henderson family spent 40 hrs, while Ramirez spent 15 hrs.