Calculate your gross paycheck for a typical 40-hour work week.

Question

Your states highway department hires college students to help construction. Hourly rate is 13.50 which up to 10 hours per week in over for which you get time and a half. The number of hours you work vary

Answer 1

A student earns $13.50 per hour for the first ten hours worked in a week. Thus, for the first ten hours worked in a week a student earns 10x$13.50=$135.00.

 

For each hour worked over ten hours in a week, a student earns time and a half (1.5 times the rate of pay for the first 10 hours worked in a week), which gives us an hourly rate of pay for each hour worked over ten hours in week of $13.50x1.5.  $13.50x1.5=$20.25 for each hour of overtime worked in a week.

 

Because a student earns time and a half for each hour worked over 10 hours in a week, a student who works 40 hours in a week has worked 40-10=30 hours at time and a half that week.

 

Thus, for 30 hours a student works at time and a half during a week the student earns 30x$20.25= $607.50

 

Therefore, a student who works 40 hours in week at a rate of pay for the first 10 hours and time and a half for each hour worked over 10 hours that week is as follows:

 

10 hours x $13.50 = $135.00 for the first ten hours worked

30 hours x $20.25 = $607.50 for the overtime worked

 

and:

 

  $135.00 + $607.50 + $742.50 earned for working 40 hours in a week