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 repeated the pattern and until she has covered the entire floor she complete 2/3 of the floor and 1/3 of an hour at this rate how long will it take her to complete the entire floor?

Since Iris has already completed 2/3 of the floor in 1/3 of an hour, it means that she can complete 1/3 of the floor in 1/3 of an hour.

This means that it will take her 1 hour to complete 1 full floor since 1/3 is already completed.
So, it will take her 1 + 1/3 = 4/3 hours to complete the entire floor. Answer: \boxed{\frac{4}{3}}.