An auto shop has two mechanics. They charge a combined rate of $175 per hour. On their most recent car, the first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they charged a total of $ 1700. What is the rate charged per hour by each mechanic?

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michelleokonji888 michelleokonji888 · Answer 1 · 2024-06-19T14:23:25-04:00

Answer: The first mechanic charges $55 per hr while the other charges $120 per hour

Step-by-step explanation: Let x = charge of the first mechanic per hour

let y = charge of the second mechanic per hour.

their combined rate = $175/hr

therefore, x + y = 175(equation 1)

. We also know that the first guy worked 20 hrs, and the second worked 5 hrs making a profit of $1700

so, 20x + 5y = 1700 (equation 2) : which can be further simplified to 4x + y = 340.

Substituting equation 1 into 2, we get:

3x + 175 = 340

subtracting 175 from both sides

3x = 165 (divide both sides by three)

x = $55 per hr

To find y,

substitute x= 55 into equation 1

x + y = 175

(55) + y = 175

y = $120 per hour