Let's assume that James is paid x dollars per hour for the first 40 hours he works in a week, and 1.5x dollars per hour for any hours he works beyond 40. We can use this information to set up an equation to solve for x:
40x + 6(1.5x) = $588.00
Simplifying the equation, we get:
40x + 9x = $588.00
49x = $588.00
Dividing both sides by 49, we get:
x = $12.00
Therefore, James is paid $12.00 per hour for the first 40 hours he works in a week, and $18.00 per hour for any hours he works beyond 40. To check our answer, we can calculate his gross pay for the week:
40 hours x $12.00/hour = $480.00 (straight-time pay)
6 hours x $18.00/hour = $108.00 (time-and-a-half pay)
Total gross pay = $480.00 + $108.00 = $588.00
So our answer is correct.