Final answer:
The price for a repair will be the same at Bronx Auto Repair and Grand Concourse Auto after 2 hours of labor, as found by solving the equations C = 50 + 25h for Bronx Auto Repair, and C = 60 + 20h for Grand Concourse Auto and setting them equal to each other.
Step-by-step explanation:
The question asks when the price for a repair would be the same at Bronx Auto Repair and Grand Concourse Auto. To find the answer, we need to set up equations for each repair shop that represents their charging patterns and then determine the point at which the costs are equal.
Bronx Auto Repair's cost can be represented as C = 50 + 25h, where C is the total cost and h is the number of hours of labor. Grand Concourse Auto's cost can be represented by C = 60 + 20h. To find out when the costs are the same, we set the two equations equal to each other: 50 + 25h = 60 + 20h. Solving for h, we subtract 20h from both sides to get 5h = 10, and then divide by 5 to find that h = 2 hours.
The answer is that the price for a repair will be the same at either shop after 2 hours of labor.