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 1/3 of an hour . At this rate, how long will it take her to complete the entire floor?
To find out how long it will take Iris to complete the entire floor, you can start by calculating her rate of sweeping the floor.
Since Iris completes 2/3 of the floor in 1/3 of an hour, you can divide the completed floor (2/3) by the time taken (1/3) to find her rate.
Rate = Completed floor / Time taken
Rate = (2/3) / (1/3)
Rate = (2/3) * (3/1)
Rate = 2
Therefore, Iris sweeps the floor at a rate of 2/3 of the gymnasium per hour.
To calculate the time it will take her to complete the entire floor, you can use the formula:
Time = Total floor / Rate
Time = 1 / (2/3)
Time = 1 * (3/2)
Time = 3/2
Therefore, it will take Iris 3/2 hours to complete the entire gymnasium floor.
To find out how long it will take Iris to complete the entire floor, we can use the given information that she completes 2/3 of the floor in 1/3 of an hour.
First, let's determine the fraction of the floor she completes in one hour. Since she completes 2/3 of the floor in 1/3 of an hour, we can multiply the numerator and denominator by 3 to get:
(2/3) * (3/1) = 6/3
So, Iris completes 6/3 or 2/1 (which is equivalent to 2) of the floor in one hour.
Now, to find out how long it will take her to complete the entire floor, we need to divide the total floor by the fraction of the floor she completes in one hour.
Since she completes 2/1 of the floor in one hour, it will take her 1/2 of an hour (or 30 minutes) to complete the entire floor.
If Iris completes 2/3 of the floor in 1/3 of an hour, then in 1 hour she can complete 2/3 * 3/1 = <<2/3*3/1=2>>2/1 = 2 times the floor.
Therefore, it will take Iris 1 hour to complete the entire floor. Answer: \boxed{1}.