In the case of needing to setup time accommodations for assignments or quizzes on Moodle, the process is very easily done with a combination of 2 features: “groups” and “restrictions”
The basic idea of what we’re going to setup is two groups of students: one with students requiring a time accommodation, and one with students that do not. Then, we’ll setup setup two copies of the quiz or assignment, one with one time limit and one with another. The final step will be to make each quiz only available to the proper group of students.
Professor Estelle Chamoux has put together an interactive slide show showing this process:
You can also see a quick video of the entire process below: