Problema Solution
The Wong family and the Young family each used their sprinklers last summer. The water output rate for the Wong family's sprinkler was per hour 40L. The water output rate for the Young family's sprinkler was per hour 35L. The families used their sprinklers for a combined total of 50 hours, resulting in a total water output of 1850L . How long was each sprinkler used? The Wong family sprinkler hour and the Young family sprinkler hours
Answer provided by our tutors
let
w = the number of hours the Wong family used their sprinkler
y = the number of hours the Young family used their sprinkler
The families used their sprinklers for a combined total of 50 hours
w + y = 50
The water output rate for the Wong family's sprinkler was 40L per hour thus for w hours they will have total output of 40*w L
The water output rate for the Young family's sprinkler was 35L per hour thus for y hours they will have total output of 35*y L
the total output of the two families is 1850 L
40w + 35y = 1850
by solving the system of equations
w + y = 50
40w + 35y = 1850
we find
w = 20 hours
y = 30 hours
click here to see the step by step solution of the system of equations
The Wong family sprinkler was used 20 hour and the Young family sprinkler was used 30 hours.