The Department of Safety may issue age certificates to 16 and 17yearolds. Number of hours minors can work: Minors under the age of 14 are generally not allowed to work, though there are exceptions for some occupations.Minors cannot work for more than 3 hours without a 10 minute rest period. Minors are also entitled to minimum wage. For youth that are 14-years-old and 15-years old, Utah child labor laws restrict the times they may work to a.m. Provisions already in the law estab lish more restrictive requirements for 14 and 15yearolds. Equal employment opportunity.