Question

A car repair shop charged $\$80$ per hour for labor and $\$210$ for the parts of a car.

If the total cost was $\$490$, how many hours did it take to repair the car?

Answer 1

Finding the number of hours it will take to repair the car:

Given,

Charge of labor = $\$80/\text{hour}$

Charge of parts = $\$210$

The total cost paid for repairing = $\$490$

Let the number of hours required to repair be $x$.

$\therefore$ The total cost of repairing = Charge of parts + Number of hours x Charge of labor

$$\begin{gathered} \Rightarrow \$490=\$210+\$80x \\ \Rightarrow \$280=\$80x \\ \Rightarrow x=\frac{280}{80} \\ =\frac{7}{2}\text{hours} \\ =3.5\text{hours} \end{gathered}$$

Hence, the number of hours required to repair the car is $3.5\text{hours}$.