Problema Solution
the Edwards family and the simmons family each used their sprinklers last summer. The water output rate for the Edwards family's sprinklers was 35L per hour. The water output rate for the simmons family's sprinkles was 15L per hour. The families used their sprinklers for a combine total of 50 hours, resulting in a water output of 1150L. How long was each sprinkler used?
Answer provided by our tutors
let
x = the hours the Edwards family used the sprinkler
y = the hours the Simmons family used the sprinkler
The families used their sprinklers for a combine total of 50 hours,
x + y = 50
resulting in a water output of 1150L
35x + 15y = 1150
by solving the system of equations
x + y = 50
35x + 15y = 1150
we find
x = 20 hr
y = 30 hr
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Edwards family sprinkler was used 20 hours.
Simmons family sprinkler was used 30 hours.