Iris is asked to sweep the gymnasium floor after a basketball game describes how to push a scooter from one end of the gym to another and repeating the pattern so she is covered entire floor. She completes to have 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?
If Iris is able to cover 2/3 of the floor in 1/3 of an hour, then it means she covers 1/3 of the floor in 1/3 of an hour.
To complete the entire floor, which is 3/3 of the floor, it will take her 3/3 * 1/3 = 1 hour. Answer: \boxed{1}.
To calculate how long it will take Iris to complete the entire floor, we need to find the time it takes her to cover 1/3 of the floor and then use that information to determine the total time.
Given that she sweeps 2/3 of the floor in 1/3 of an hour, we can set up a proportion to find how long it will take her to sweep the remaining 1/3 of the floor.
Let's assume that the total time it takes for her to complete the entire floor is represented by "t" hours.
So, the proportion can be set up as follows:
(2/3) / (1/3) = (1/3) / t
To solve this proportion, we can cross-multiply:
(2/3) * t = (1/3) * (1/3)
Simplifying, we have:
(2/3) * t = 1/9
Now, let's isolate "t" by dividing both sides of the equation by (2/3):
t = (1/9) / (2/3)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
t = (1/9) * (3/2)
Multiplying the numerators and denominators, we get:
t = 3/18
Simplifying the fraction, we have:
t = 1/6
Therefore, it will take Iris 1/6 of an hour, or 10 minutes, to complete the entire floor.
To find out how long it will take Iris to complete the entire floor, we can start by finding her rate of progress.
Given that Iris completes 2/3 (or 2 out of 3 parts) of the floor in 1/3 (or 1 out of 3 parts) of an hour, we can determine her rate per part.
Since rate is equal to distance divided by time, Iris's rate is 2/3 divided by 1/3. To divide fractions, we can invert and multiply, so the rate is (2/3) * (3/1).
The simplified rate is (2 * 3) / (3 * 1) = 6/3 = 2 parts of the floor per hour.
So, Iris's rate is 2 parts of the floor per hour.
To calculate how long it will take her to complete the entire floor, we need to divide the total floor area by her rate.
If the entire floor is represented by 1 (since 1 reflects the whole or 100% of the floor), and her rate is 2 parts per hour, it will take her 1 divided by 2 hours to finish.
Therefore, it will take Iris 1/2 (or 0.5) hours to complete the entire floor.