Question

The total cost of repairs on a car was $325.The mechanic charged $45 for the repair and $15 an hour for labor.How many houers did the mechanic work on the car?

Answer 1

Answer:

The mechanic worked 18.67 hours on the car.

Step-by-step explanation:

Given:

Total Cost on Repair = $325.

Mechanics charge = $45

Hourly Charge for Labor = $15

We need to find Number of hours Mechanic work on the car.

Let the number of hours worked by labor be 'x'

Now Total Cost on Repairs is equal to sum Mechanics charge and Hourly rate of labor multiplied by number of hours worked by labor.

Framing in equation form we get;

$45+15x=325$

Solving the equation we get;

Using Subtraction Property we will subtract both side by 45 we get;

$45+15x-45=325-45\\\\15x =280$

Now Using Division Property we will divide both side by 15 we get;

$\frac{15x}{15}=\frac{280}{15}\\\\x=18.67\ hrs$

Hence the mechanic worked 18.67 hours on the car.