Iris is asked to sweep the gymnasium floor after a basketball game. This requires her to push a sweeper from one end of the gym to the other and repeating the pattern until she has covered the entire floor. She completes 2/3 of the floor in 1/3of an hour. At this rate, how long will it take her to complete the entire floor?

If Iris completes 2/3 of the floor in 1/3 of an hour, then in one hour, she can complete 2/3*(1/1) = <<2/3*(1/1)=2/3>>2/3 of the floor.

The time she will take to complete the entire floor is 1/(2/3) = 3/2 = 1 1/2 hours. Answer: \boxed{1\frac{1}{2}}.