If you apply today and your study permit is still valid then maybe just in time, but you are close to within a few days of 90 so you need to act now.. Assuming by result you mean the college provided a letter dated 24 August confirming you completed the course.I got my result on 24 august. So it means i still have time.
Then Go ahead dear. Apply for ut. Write a letter of explanation. I am sure if you were responsible student they will approve your work permitBut i have 8 days. I can also apply for work permit.