iris is asked to sweep he 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 patterns until she has covered the entire floor. She completes 2/3 of the floor in 1/3 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 an hour, then it took her 1/3 / 2/3 = (1/3) * (3/2) = 1/2 hour to complete 2/3 of the floor.

To complete the entire floor, it would take her 1/2 * (3/2) = 3/4 hour. Answer: \boxed{\frac{3}{4}}.