Question

Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1825. What was the rate charged per hour by each mechanic if the sum of the two rates was $170 per hour?

Answer 1

Answer:

The rate charged by the first mechanic was $65 per hour and the rate charged by the second mechanic was $105 per hour

Step-by-step explanation:

Let

x ----> the amount charged per hour by the first mechanic

y ----> the amount charged per hour by the second mechanic

we know that

the sum of the two rates was $170 per hour

so

$x+y=170$ ----> equation A

Together they charged a total of $1825

so

$20x+5y=1,825$ ----> equation B

solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (65,105)

see the attached figure

therefore

The rate charged by the first mechanic was $65 per hour and the rate charged by the second mechanic was $105 per hour