Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for five hours. Together they charged a total of $1825.

Question

Two mechanics worked on a car.

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

Together they charge a total of $1825.

What was the rate charged per hour by each mechanic if the sum of the two rates was $155 per hour?

Answer 1

Rate for mechanic 1 = a

Rate for mechanic 2 = b

Then

15a + 5b = 1825

and a + b = 155 Solving each simultaneously, we find that

a = $105

b = $50