All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
It is incumbent on you, dear questioner, to perform the prayers on time, and being preoccupied with your classes, as mentioned in the question, is not a valid excuse for neglecting the prayers. The time available for you in the 10-minute break is sufficient to perform the ablution and prayer. You should bear in mind that there is no good in a job that distracts and preoccupies a Muslim from carrying out the most emphasized religious obligation, second only to the declaration of the Two Testimonies of Faith!
Millions of Muslims (around the world) work and strive to earn a living without allowing their jobs to preoccupy them with performing their prayers (on time). Therefore, you are advised to fear Allah, The Almighty, and perform the (obligatory) prayers on time. If you happen to miss any prayer, it is incumbent on you to repent and make up for it immediately.
Allah knows best.