Problema Solution
The Morris family and the Gray family each used their sprinklers last summer. The water output rate for the Morris family's sprinkler was
35L
per hour. The water output rate for the Gray family's sprinkler was
40L
per hour. The families used their sprinklers for a combined total of
55
hours, resulting in a total water output of
2125L
. How long was each sprinkler used?
Answer provided by our tutors
Let
x = the number of hours that Morris family used the sprinkler, x>0
y = the number of hours that Gray family used the sprinkler, y>0
The families used their sprinklers for a combined total of 55 hours:
x + y = 55
resulting in a total water output of 2125 L:
35x + 40y = 2125
By solving the system of equation:
x + y = 55
35x + 40y = 2125
........
........
x = 15 hours
y = 40 hours
The Morris family used the sprinkler for 15 hours.
The Gray family used the sprinkler for 40 hours.