Problema Solution

The Aoki family and the Roberts family each used their sprinklers last summer. The water output rate for the Aoki family's sprinkler was 30L per hour. The water output rate for the Roberts family's sprinkler was 40L per hour. The families used their sprinklers for a combined total of 60 hours, resulting in a total water output of 2200L. How long was each sprinkler used?

Answer provided by our tutors

let


a = the hours that the Aoki family's sprinkler was used

r = the hours that the Roberts family's sprinkler was used


The families used their sprinklers for a combined total of 60 hours, resulting in a total water output of 2200L


a + r = 60


30a + 40r = 2200


by solving the system of equations we find


a = 20 h


r = 40 h


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the Aoki family's sprinkler was used 20 hours.

the Roberts family's sprinkler was used 40 hours.