Question

Two mechanics worked on a car. The first mechanic charged $75 per hour, and the second mechanic charged $45 per hour. The mechanics worked for a

combined total of 25 hours, and together they charged a total of $1425. How long did each mechanic work?

Answer 1

they both worked

8 hours

Answer 2

First mechanic 10 hours, Second is 15 hours

Explanation:

x + y = 25, so y = 25 - x

75x + 45y = 1425

Substitute in the first equation

75x + 45(25 - x) = 1425

75x + 1125 - 45x = 1425

30x = 300

x = 10

Therefore, y = 15