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 $3075. What was the rate charge

Question 1020121: 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 $3075. What was the rate charged per hour by each mechanic if the sum of the two rates was $170 per hour?
Answer by ikleyn(52754) (Show Source): You can put this solution on YOUR website!
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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 $3075. What was the rate charged per hour by each mechanic if the sum of the two rates was $170 per hour?
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Let first mechanic charges x dollars per hour. Then the second charges (170-x) dollars per hour.

Now your balance equation is 

20*x + 15*(170-x) = 3075.

Simplify and solve:

20x - 15x + 15*170 = 3075,

5x = 3075 - 15*170 = 525,

x =  = 105.

First mechanic charges $125 per hour.

Hence, the second charges $170 - $105 = $65 per hour.

Check: 20*105 + 15*65 = 3075.

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