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?(1 point)
1 1/2
1/2 hours
1 hour
2/3 hours
To find out how long it will take Iris to complete the entire floor, we can use proportions.
Since Iris completes 2/3 of the floor in 1/3 of an hour, we can set up the proportion:
(2/3) / (1/3) = 1 / x
Where x represents the time it will take her to complete the entire floor.
To solve for x, we can cross multiply:
(2/3) * x = 1 * (1/3)
2x/3 = 1/3
Now, we can multiply both sides by 3 to isolate x:
2x = 1
Divide both sides by 2:
x = 1/2
Therefore, it will take Iris 1/2 hour to complete the entire floor.
The answer is 1/2 hours.