SOLUTION: Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1750 . What was the rate charg
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Question 839002: Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1750 . What was the rate charged per hour by each mechanic if the sum of the two rates was $160 per hour?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = amount charged by 1st mechanic
Let = amount charged by 2nd mechanic
Let = the rate for the 1st mechanic
Let = the rate for the 2nd mechanic
-----------------
(1)
(2) dollars/hr
------------------------------------
Multiply both sides of (2) by
(2)
Subtract (1) from (2)
(2)
(1)
and, since
(1)
(1)
(1)
-------------------
The 1st mechanic's rate is:
$95/hr
The 2nd mechanic's rate is:
$65/hr
-------------
check:
(1)
(1)
(1)
OK
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