Two mechanics worked on a car. The first mechanic charged $105 per hour, and the second mechanic charged $80 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $1975. How long did each mechanic work?

Answer 1

Let x be the number of hours the first mechanic worked.
The first mechanic earned 105x dollars.
The second mechanic worked for 20 - x hours.
The second mechanic earned 80(20 - x) dollars.
105x + 80(20 - x) = 1975
105x + 1600 - 80x = 1975
25x = 375
x = 15
The first mechanic worked for 15 hours, and the second mechanic worked for 20 - 15 = <<20-15=5>>5 hours. Answer: \boxed{15}.