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)
Responses
12 hours
1 hour
1 hour
2/3 hours
1 1/2
To find how long it will take Iris to complete the entire floor, we need to find the proportion between the amount of floor she has swept and the time it took her.
Since she completed 2/3 of the floor in 1/3 of an hour, the proportion is 2/3 floor / 1/3 hour = (2/3)/(1/3) = 2/1.
Therefore, it will take Iris 2 times the amount of time she has already spent to complete the entire floor.
Since she has spent 1/3 of an hour, it will take her 2 x 1/3 = 2/3 of an hour to complete the entire floor.
So the correct answer is 2/3 hours.