Finding overtime rate

Question

kate worked 10 hours over time and earned $8 more than one third the amount she earns for 40 hours at her usual rate. If over time rate is $2.40 per hour more than her usual rate what is her overtime rate?

Answer 1

So let X = her usual rate

 

10(X + 2.40) = 8 + 1/3(40X)

10X + 24 = 8 +( 40/3)X

16 = (10/3)X

16(3) = 3(10/3)X

48 = 10X

X = 4.80

 

 

 

This is her regular rate. Her overtime rate is 4.80 + 2.40 = $7.20 per hour