Final answer:
By setting up an equation for each company's charges and equating them, it is calculated that it will take 5 hours for both Company A and Company B to charge the same amount for a painting job.
Step-by-step explanation:
To find out how many hours it will take for both Company A and Company B to charge the same amount for a painting job, we can set up an equation for each company and find the point where the total costs are equal. Company A charges $30 per hour plus a one-time fee of $50 for painting supplies, so the cost can be represented as: Cost(A) = 30h + 50. Company B charges $35 per hour plus a one-time fee of $25 for painting, giving us: Cost(B) = 35h + 25.
To find the number of hours (h) when the costs are the same, we set the equations equal to each other and solve for h:
30h + 50 = 35h + 25
50 - 25 = 35h - 30h
25 = 5h
h = 25 / 5
h = 5
Therefore, it would take 5 hours for both companies to charge the same amount for a painting job.