SOLUTION: Two mechanics worked on a car. The first mechanic worked for
20
hours, and the second mechanic worked for
15
hours. Together they charged a total of
$2250
. What was the
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Coordinate Systems and Linear Equations
-> SOLUTION: Two mechanics worked on a car. The first mechanic worked for
20
hours, and the second mechanic worked for
15
hours. Together they charged a total of
$2250
. What was the
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Question 1090193: Two mechanics worked on a car. The first mechanic worked for
20
hours, and the second mechanic worked for
15
hours. Together they charged a total of
$2250
. What was the rate charged per hour by each mechanic if the sum of the two rates was
$125
per hour?
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Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours.
Together they charged a total of $2250.
What was the rate charged per hour by each mechanic, if the sum of the two rates was
$125 per hour?
~~~~~~~~~~~~~~~
Let x be the rate of the first mechanic.
Then the rate of the second mechanic is (125 - x) dollars.
The "amount" equation is
20x + 15*(125-x) = 2250 dollars.
Simplify and solve for x:
20x + 1875 - 15x = 2250 ====>
5x = 2250 - 1875 = 375 ====> x = = 75.
Thus the first mechanic's rate is $75 per hour.
Then the second mechanic's rate is $125 - $75 = $50 per hour.
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