Lots of great advice here. Each kid should have a set amount of miles to run over the summer to build their base that is based on their level and goals.
My son runs track and cross country and is about to start his junior year in a 5a school. The coach sits down with each athlete and talks about their summer mileage. He gives them a calendar with certain types/distances of runs to do each day.
I can share more information with you if needed. My son also works with a specialist outside of school that tweaks/gives advice on his mileage, times, core building etc.
My biggest piece of advice is that you should vary places to run in order to not be on pavement so much. Find trails, etc. Don't increase miles too much each week, run with team members, and make sure you watch out for your kid. Some of these coaches in competitive schools will use some pretty aggressive programs that are super heavy mileage and have too many injuries and burn out.