for this job , Hayden earns an hourly rate of $30. For each hour he works over 40 hours, he earns 1.5 times his regular hourly rate. In a two-week period, Hayden earns $2175 by working 40 regular hours, plus overtime. How many overtime hours did Hayden work?
Hayden's hourly rate is $30 Extra hour rate is 1.5×30=$45 given that he earned $2175 by working 40 regular hours, the number of overtime hours he worked will be given as follows; let the number of overtime be x hence total amount earned will be: (40×30)+(45×x)=2175 1200+45x=2175 45x=2175-1200 45x=975 solving for x we get x=975/45 x=65/3=21 2/3 hours