Question

Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they charged a total of $950. What was the rate charged per hour by each mechanic if the sum of the two rates was $125 per hour?

Answer 1

First mechanic: $65.

Second mechanic: $60.

Explanation:

Let the rates be x for the first mechanic and y for the second.

x + y = 125

10x + 5y = 950

Multiply first equation by - 5

-5x - 5y = -625

Adding the last 2 equations:

5x = 325

x = 65

y = 125-65 = 60 .