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 2,975 of. What was the rate cha

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Question 1186001: 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 2,975 of. What was the rate charged per hour by each mechanic if the sum of the two rates was 160 per hour?
Answer by ikleyn(52754) About Me  (Show Source):
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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 2,975 highlight%28dollars%29.
What was the rate charged per hour by each mechanic if the sum of the two rates was 160 per hour?
~~~~~~~~~~~~~~~~~~~~~~~~~ 

1-st mechanic rate :  x dollars per hour.

2-nd mechanic rate : (160-x) dollars per hour.


Total money equation


    20x + 15*(160-x) = 2975    dollars.


The solution


    x = %282975+-+15%2A160%29%2F%2820-15%29 = 115 dollars.


ANSWER.  1-st mechanic rate is  115 dollars per hour;  2-nd mechenic rate:  160-115 = 45 dollars per hour.

Solved.