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Sagot :
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
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