SOLUTION: he Scott family and the Cox family each used their sprinklers last summer. The water output rate for the Scott family's sprinkler was 35L per hour. The water output rate for th

Algebra ->  Equations -> SOLUTION: he Scott family and the Cox family each used their sprinklers last summer. The water output rate for the Scott family's sprinkler was 35L per hour. The water output rate for th      Log On


   



Question 1063148: he Scott family and the Cox family each used their sprinklers last summer. The water output rate for the Scott family's sprinkler was
35L
per hour. The water output rate for the Cox 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
1275L
. How long was each sprinkler used?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
35t%5B1%5D%2B25t%5B2%5D=1275
t%5B1%5D%2Bt%5B2%5D=45
So,
t%5B1%5D=45-t%5B2%5D
Substituting,
35%2845-t%5B2%5D%29%2B25t%5B2%5D=1275
1575-35t%5B2%5D%2B25t%5B2%5D=1275
-10t%5B2%5D=-300
t%5B2%5D=30hr
So,
t%5B1%5D=45-30
t%5B1%5D=15hr