Consider that x is the payment per hour Heather earns. If she workes her 40 regular hours plus 10 overtime hours payed as an hour and half, then, you can write algebraicaly:
40x + 10(x + 0.5x) = 652
It is necessary to solve the previous equation for x, just as follow:
40x + 10(x + 0.5x) = 652 simplify inside parenthesis
40x + 10(1.5x) = 652
40x + 15x = 652 simplify like terms left side
55x = 652 divide both sides by 55
x = 11.85
Hence, the rate per hour is $11.85
