Question

Two mechanics worked on a car. The first mechanic charged $95 per hour, and the second mechanic charged $90 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $2350. How long did each mechanic work?

Answer 1

The first mechanic worked for 20 hours and the second mechanic worked for 5 hours

Explanation:

Let f be the number of working hours of first mechanic

Let s be the number of working hours of second mechanic

Given that they both worked for a combined total of 25 hours

⇒f + s = 25 → equation 1

First mechanic charged $95 per hour and second mechanic charged $90 per hour and they both together charged $2350

⇒95f + 90s = 2350 → equation 2

Using equation 1 in equation 2:

95f + 90(25-f) = 2350

⇒95f + 2250 - 90f = 2350

⇒5f = 100

or f = 20 hours

⇒s = 25 - f ⇒ s = 5 hours

The first mechanic worked for 20 hours and the second mechanic worked for 5 hours