SOLUTION: Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged a total of $2000. What was the rate charged

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Question 1139036: Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged a total of $2000. What was the rate charged per hour by each mechanic if the sum of the two rates was $210 per hour?
Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x be the rate of the first mechanics, in dollars per hour. 

Then the rate of the second mechanics is (210-x) dollars per hour.


The total charge for the entire work is $2000


    5x + 15*(210-x) = 2000.


From the equation, express x and calculate the answer


    x = %282000+-+15%2A210%29%2F%285+-+15%29 = 115.


ANSWER.  First mechanics charges  $115 per hour;  second charges  210 - 115 = 95 dollars per hour.


CHECK.  5*115 + 15*95 = 2000 dollars.    ! Correct !