Let's denote Lee's regular hourly rate by x. Then, her overtime hourly rate is 2x.
Lee worked 40 hours at her regular hourly rate, so her regular pay is 40x dollars.
Lee worked 13 hours at her overtime hourly rate, so her overtime pay is 13(2x) = 26x dollars.
Her total gross pay is given as $1,769. Therefore, we can set up the following equation:
40x + 26x = 1,769
Simplifying this equation, we get:
66x = 1,769
Dividing both sides by 66, we obtain:
x = 26.83 (rounded to two decimal places)
Therefore, Lee's regular hourly rate is $26.83.
Answer: Lee's hourly rate is $26.83.