How is Weighted-Average Overtime Calculated?

Weighted-average overtime is calculated using the following 4-step mathematical equation:

1.  All hours are treated as straight time (ST) and the hours are multiplied by the ST rate of pay to determine TOTAL A
   
2.  TOTAL A is then divided by the total hours worked in the week and then divided by 2 to determine RATE B
3.  RATE B is multiplied by the number of hours over 40 to determine TOTAL C
   
4.  TOTAL A plus TOTAL C = weighted average gross pay.
   

An expanded example:  Joe works 25 hours at $10.00/ph and 25 hours at $12.00/ph for a total of 50 hours in the workweek.  10 hours of overtime are calculated.

1.  (25 hours x $10.00) $250.00 + (25 hours x $12.00) $300.00 = $550.00
2.  $550.00 divided by 50 hours = $11.00 divided by 2 = $5.50
   
3.  $5.50 x 10 hours = $55.00
   
4.  $550.00+ $55.00 = $605.00 weighted average gross pay