How to create a book/schedule system?

I need to create a schedule system where a teacher can tell when he is available and a student can book that time to study with him/her.

It's like a calendar where a teacher can check like 30 minutes interval from 8 am until 8 pm and students can book like from 8 am to 8:30 am, 8:30 am to 9 am and so on.

How can I do something like that? Is there a package that helps with that already or I need to do my own, if so how would be the best way to structure the tables and relationships?

Thank you