Minors 16 years of age or older and under the age of 18 years enrolled in work experience or cooperative vocational education programs approved by the State Department of Education or in work experience education programs conducted by private schools may work after 10 p.m. but not later than 12:30 a.m., providing such employment is not detrimental to the health, education, or welfare of the minor and the approval of the parent and the work experience coordinator has been obtained. However, if any such minor works any time during the hours from 10 p.m. to 12:30 a.m., he or she shall be paid for work during that time at a rate which is not less than the minimum wage paid to adults.