If you and a student are in different time zones, you'll see your schedule in your time zone, and the student in theirs.

NOTE: if you move to a place with a different time zone, your schedule will not adjust automatically. You have to go to your profile and adjust the time zone manually.

To change your time zone:

Go to "Tutor studio" > "Private lessons settings" > choose your time zone.
OR
Follow the link https://livexp.com/studio/private-lessons