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