SOLUTION: Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for five hours. Together they charged a total of$1325. What was the rate charg

Question 707469: Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for five hours. Together they charged a total of$1325. What was the rate charged per hour by each mechanic if the sum of the two rates was $100 per hour?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the 1st mechanic's rate = dollars/hr
Let the 2nd mechanic's rate = dollars/hr
given:
(1)
(2)
------------------
Multiply both sides of (2) by and
subtract (2) from (1)
(1)
(2)

and, since
(2)
(2)
The 1st mechanic's rate was $55/hr
The 2nd mechanic's rate was $45/hr
check answers:
(1)
(1)
(1)
OK

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