SOLUTION: Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1875. What was the rate charge

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Question 1189722: Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1875.
What was the rate charged per hour by each mechanic if the sum of the two rates was $165 per hour?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by ikleyn(52781) About Me  (Show Source):
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Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours.
Together they charged a total of $1875.
What was the rate charged per hour by each mechanic if the sum of the two rates was $165 per hour?
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Let x be the rate of the first mechanic.
Then the rate of the second mechanic is (165 - x) dollars.


The "total money" equation is

    15x + 5*(165-x) = 1875  dollars.


Simplify and solve for x:

    15x + 825 - 5x = 1875  ====>

    10x = 1875 - 825 = 1050  ====>  x = 1050%2F10 = 105.


Thus the first mechanic's rate is $105 per hour.


Then the second mechanic's rate is $165 - $105 = $60 per hour.

Solved.