Elena works 70 hours a week and she receives 30 hours of ove

Elena works 70 hours a week and she receives 30 hours of overtime if she is paid 1250 a week. what is her hourly rate?

Solution

We know that an employer who requires or permits an employee to work overtime is generally required to pay the employee premium pay for such overtime work. Employees covered by the Fair Labor Standards Act (FLSA) must receive overtime pay for hours worked in excess of 40 in a workweek of at least one and one-half times their regular rates of pay. Assuming that Elena works 70 hours a week (including overtime) and also assuming that Elena is paid $ x per hour, the overtime rates are $1.5x per hour. Then, we have 40x +30*1.5x = 1250 or, 40x +45x = 1250 or, 85x= 1250 so that x = 1250/85 = $14.71. Thus, her hourly rate is $ 14.71.

Note: In case, the overtime of 30 hours is not included in 70 hour, then, we have 70x +30*1.5x = 1250 or, 70x+45x = 1250 or, 125x = 1250 so that x = 1250/125 = 10. Thus, her hourly rate is $ 10..