Question

Two mechanics worked on a car. The first mechanic charged $65 per hour, and the second mechanic charged $90 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $1750. How long did each mechanic work?

Answer 1

Answer:

First mechanic worked 20 hours and second mechanic worked 5 hours

Step-by-step explanation:

Let the number of hours the first mechanic worked = $a$

Let the number of hours the second mechanic worked = $b$

Therefore, we can write 2 equations and then solve them simultaneously:

$a+b=25$

$65a+90b=1750$

Rearranging the first equation: $a=25-b$

and substituting into the second equation to find $b$:

$65(25-b)+90b=1750$

$1625-65b+90b=1750\\ 25b=125\\ b=5$

Now sub $b=5$ into the first equation to find $a$

$a+5=25\\ a=20$

Therefore, first mechanic (a) worked 20 hours and second mechanic (b) worked 5 hours