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?

First mechanic worked 20 hours and second mechanic worked 5 hours

Step-by-step explanation:

Let the number of hours the first mechanic worked =

Let the number of hours the second mechanic worked =

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

Rearranging the first equation:

and substituting into the second equation to find :

Now sub into the first equation to find

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

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )