SOLUTION: Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1050. What was the rate charged

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Question 1163737: Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1050. What was the rate charged per hour by each mechanic if the sum of the two rates was $155 per hour
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
WAGES%2FTIME=RATE
-
RATE%2ATIME=WAGES 

                     PAYRATE      TIME      WAGES
Mech1                155-r         10      10(155-r)
Mech2                  r            5       5r
TOTAL                155                    1050

Form the needed equation and calculate.

-

5r%2B10%28155-r%29=1050
-
5r%2B1550-10r=1050
-5r=1050-1550
5r=1550-1050
5r=500
r=100

Mechanic1 earns at 55 dollars per hour
and
Mechanic2 earns at 100 dollars per hour.