Brianna is taking a writing assessment that has 3 sections. She has a total of 5/6 of an hour to finish all the sections. If she is allowed the same amount of time to finish each section, how much time does she have to spend on each section?

If Brianna has 5/6 of an hour to finish all 3 sections, then she has 5/6 ÷ 3 = <<5/6/3=5/18>>5/18 of an hour to spend on each section.

Since there are 60 minutes in 1 hour, then she has 60 × 5/18 = 300/18 = <<60*5/18=16.67>>16.67 minutes to spend on each section.
Rounded to the nearest whole number, she has 17 minutes to spend on each section. Answer: \boxed{17}.