Question

Two mechanics worked on a car. the first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. together they charged a total of $ 2650 . what was the rate charged per hour by each mechanic if the sum of the two rates was $ 205 per hour?

Answer 1

The first rate was 120

The second rate was 85

Explanation:

r1 = x

r2 = y

10*x + 15*y = 2650

x + y = 205 Multiply this equation by 10

10x + 10y = 2050 Subtract this equation from the top equation.

10x + 15y = 2650

10x + 10y = 2050

5y = 600

y = 600/5

y = 120

x + y = 205

x + 120 = 205

x = 205 - 120

x = 85