You work for a city that allows after hours work and are an inspector? Understandable for a utilities services employee, or snow and ice removal or something like that. With tight budgets no city ever wants to pay any overtime unless absolutely necessary.If you drive shop to shop in a company truck, you are on company time. I believe that if you drive shop to home you only have to pay till the end of the day at the job. I also believe that as long as he is driving your truck, then he is under your employee and you are libal for any accidents or other mishaps.
Here if I do an after hours inspection, I am required to come into the office and pick up my city truck.