MAT 222 Intermediate Algebra

Question

Two mechanics worked on a car. The first mechanic charged $75 per hour, and the second mechanic charged $105 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $1950. How long did each mechanic work?

Answer 1

Let x = number of hours worked by the first mechanic

Then,20 - x = number of hours worked by the other mechanic

So, 75x + 105(20 - x) = 1950

-30x + 2100 = 1950

-30x = -150

x = 5 hours

The first mechanic worked 5 hours and the second worked 15 hours.