Problema Solution
The Chang family and the Miller family each used their sprinklers last summer. The water output rate for the Chang family's sprinkler was 40L per hour. The water output rate for the Miller family's sprinkler was 25L per hour. The families used their sprinklers for a combined total of 45 hours, resulting in a total water output of 1350L. How long was each sprinkler used?
Answer provided by our tutors
let
c = the hours that the Chang family used the their sprinkler
m = the hours that the Miller family used the their sprinkler
The families used their sprinklers for a combined total of 45 hours,
c + m = 45
resulting in a total water output of 1350 L
40c + 25m = 1350 divide both sides by 5
8c + 5m = 270
by solving the system of equations
c + m = 45
8c + 5m = 270
we find
c = 15 hours
m = 30 hours
click here to see the step by step solution of the system of equations
Chang family's sprinkler was used 15 hours.
Miller family's sprinkler was used 30 hours.