Problema Solution
The James family and the Wright family each used their sprinklers last summer. The water output rate for the James family's sprinkler was20L per hour. The water output rate for the Wright family's sprinkler was15L per hour. The families used their sprinklers for a combined total of60 hours, resulting in a total water output of 1100 . How long was each sprinkler used?
Answer provided by our tutors
let
v1 = 20 L/hr the water output rate for the James family's sprinkler
t1 = the number of hours the James family used the sprinkler
v2 = 15 L/hr the water output rate for the Wright family's sprinkler
t2 = the number of hours the Wright family used the sprinkler
the families used their sprinklers for a combined total of60 hours,
t1 + t2 = 60
resulting in a total water output of 1100 L
v1*t1 + v2*t2 = 1100
20t1 + 15t2 = 1100 divide both sides by 5
4t1 + 3t2 = 220
by solving the system of equations
t1 + t2 = 60
4t1 + 3t2 = 220
we find
t1 = 40 hr
t2 = 20 hr
click here to see the step by step solution of the system of equations
the James family's sprinkle was used for 40 hours.
the Wright family's sprinkle was used for 20 hours.