SOLUTION: :)) Fix-It-Fast Plumbing charges $25 for a house call and $50 for each hour spent on the job. Do-It-Right Plumbing charges $35 for a house call and $45 for each hour spend on

Algebra ->  College  -> Linear Algebra -> SOLUTION: :)) Fix-It-Fast Plumbing charges $25 for a house call and $50 for each hour spent on the job. Do-It-Right Plumbing charges $35 for a house call and $45 for each hour spend on       Log On


   

Question 175594: :))
Fix-It-Fast Plumbing charges $25 for a house call and $50 for each hour
spent on the job. Do-It-Right Plumbing charges $35 for a house call
and $45 for each hour spend on the job. How many hours must be spent
on the job in order for the charges of the two plumbing companies to
be equal?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
ok let the cost of fix it fast be Cf and the cost of do it right be Cr
let h be the number of hours spent on the job. This problem of course assumes that each plumbing company can do the job in the same amount of time
:
Cf=50h+25
Cr=45h+35
:
now what we are after is when Cf=Cr so lets set their values equal to each other
:
50h+25=45h+35
:
5h=10
:
highlight%28h=2%29hours
:
meaning when 2 hours hits the costs will be equal from both companies. Sidenote if greater than 2 hours Cr has the better deal because the initial cost is accounted for and he only charges $45/hr. (45 dollars wow..I can only wish lol....)