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 $3075. What was the rate charge
Algebra ->
Customizable Word Problem Solvers
-> Misc
-> 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 $3075. What was the rate charge
Log On
Question 1020121: 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 $3075. What was the rate charged per hour by each mechanic if the sum of the two rates was $170 per hour? Answer by ikleyn(52754) (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 $3075. What was the rate charged per hour by each mechanic if the sum of the two rates was $170 per hour?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Let first mechanic charges x dollars per hour. Then the second charges (170-x) dollars per hour.
Now your balance equation is
20*x + 15*(170-x) = 3075.
Simplify and solve:
20x - 15x + 15*170 = 3075,
5x = 3075 - 15*170 = 525,
x = = 105.
First mechanic charges $125 per hour.
Hence, the second charges $170 - $105 = $65 per hour.
Check: 20*105 + 15*65 = 3075.
