Question

you have a job wich pays double time when working more than 40 hours a week. last week you worked 55 hours and earned $840. what is your regular pay rate?

Answer 1

Explanation

The salary with regular pay rate is calculated as:

$S_{\text{regular}}=R\times h$

S is the salary, R is the regular pay rate and h is the number of hours worked.

The salary with over time is:

$S_{\text{overtime}}=2\text{Rxh}_{\text{overtime}}$

Because it pays double after 40 hours.

So the first 40 hours worked you'll get

$S_{\text{regular}}=40R$

The amount of overtime hours is 15 (55-40 = 15), so the overtime salary is:

$S_{\text{overtime}}=2R\times15=30R$

The total Salary is the sum of the regular and the overtime salaries:

$S=S_{\text{overtime}}+S_{\text{regular}}$

If the total salary was $840, then the regular pay rate R is:

$\begin{gathered} 840=30R+40R \\ 840=70R \\ R=\frac{840}{70}=12 \end{gathered}$

Answer

Your regular pay rate is $12 / hour