SOLUTION: Company A charges a fixed $200 for painting services, along with a $20/hour labor fee. Company B charges a strict hourly rate of $45/hour. For what length of time would the cost of

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Company A charges a fixed $200 for painting services, along with a $20/hour labor fee. Company B charges a strict hourly rate of $45/hour. For what length of time would the cost of      Log On


   

Question 928958: Company A charges a fixed $200 for painting services, along with a $20/hour labor fee. Company B charges a strict hourly rate of $45/hour. For what length of time would the cost of both company's services be the same?
Found 2 solutions by ewatrrr, TimothyLamb:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
200 +20n = 45n
200 = 25n
8hr = n, length of time that the cost of both company's services would be the same

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
company a:
y = 20t + 200
---
company b:
y = 45t
---
equate a and b:
20t + 200 = 45t
25t = 200
t = 200/25
t = 8 hours
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