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)
1/2 hours
1 hour
2/3 hours
1 1/2
To find out how long it will take Iris to complete the entire floor, we can set up a proportion. Since she completes 2/3 of the floor in 1/3 of an hour, we can set up the proportion:
(2/3) / (1/3) = 1 / x
To solve for x, we can multiply both sides of the equation by x:
x * (2/3) = (1/3) * 1
Simplifying both sides:
(2/3)x = 1/3
To eliminate the fraction on the left side, we can multiply both sides of the equation by the reciprocal of (2/3), which is 3/2:
(3/2) * (2/3)x = (3/2) * (1/3)
Simplifying both sides:
x = 1/2
Therefore, it will take Iris 1/2 hours to complete the entire floor. Answer: 1/2 hours.