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 $2625. What was the rate charge

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Question 970189: 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 $2625. What was the rate charged per hour by each mechanic if the sum of the two rates was $160 per hour?
Found 2 solutions by josgarithmetic, lwsshak3:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
f and s, rates of First and Second mechanics.

system%28f%2Bs=160%2C20f%2B15s=2625%29

system%28f%2Bs=160%2C4f%2B3s=525%29

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
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 $2625. What was the rate charged per hour by each mechanic if the sum of the two rates was $160 per hour?
***
let x=rate of first mechanic
160-x=rate of second mechanic
..
20x+15(160-x)=2625
20x+2400-15x=2625
5x=225
x=45
160-x=115
rate of first mechanic= $45/hr
rate of second mechanic=$115/hr