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 $1000 . What was the

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Question 975818: 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
$1000
. What was the rate charged per hour by each mechanic if the sum of the two rates was
$155
per hour?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
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
$1000
. What was the rate charged per hour by each mechanic if the sum of the two rates was
$155
per hour?
----------------
F = 1st mechanic's rate
S = 2nd
----
F + S = 155
10F + 5S = 1000
2F + S = 200 (2nd eqn divided by 5)
F + S = 155
------------------- Subtract
F = $45/hr
S = $110/hr