I understand you to be saying that after 10 min riding it cuts out. That means engine is no longer cold, but at normal operating temperature.
This leads me to conclude that the carb idle circuit, or the auto choke is an issue.
I am not a mechanic;I just diy on my own scoot to save cash.
With lot's of experimentation, (read trial and error) I mostly manage to fix the issues.
So, check out the carb, clean it, and test the auto choke is working correctly.
Sent from my Samsung Note 3 with Tapatalk