Iris is asking to sweep the gymnasium floor after a basketball game. This requires her to push a speaker 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.
1/2 hour
2/3 hours
1 1/2
1 hour
Since Iris completes 2/3 of the floor in 1/3 of an hour, we can establish a ratio between the amount of floor covered and the time it takes her.
Let "x" represent the time it takes her to complete the entire floor.
We can set up the proportion: (2/3) / (1/3) = 1 / x
By cross-multiplying, we get: 2/3 * x = 1/3 * 1
Simplifying the equation, we have: 2x/3 = 1/3
Multiplying both sides of the equation by 3 gives us: 2x = 1
Finally, dividing both sides of the equation by 2 gives us: x = 1/2
Therefore, it will take Iris 1/2 hour to complete the entire floor.