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)
A. 1/2 hours
B. 1 hour
C. 2/3 hours
D. 1 1/2
Since Iris completes 2/3 of the floor in 1/3 of an hour, it means she completes 2/3 / 1/3 = 2 square feet of the floor in 1 hour.
Therefore, she will complete the entire floor in 1 hour. Answer: B. 1 hour.
To find how long it will take Iris to complete the entire floor, we can set up a proportion using the given information.
Let's assume it takes Iris "t" hours to complete the entire floor.
According to the given information, Iris completes 2/3 of the floor in 1/3 of an hour. This means she completes 2/3 * (1/3) = 2/9 of the floor in 1 hour.
Setting up the proportion:
2/9 = 1/t
To solve for "t", we can cross-multiply:
2t = 9
Dividing both sides by 2:
t = 9/2 = 4.5 hours
Therefore, it will take Iris 4.5 hours to complete the entire floor, which is equivalent to D. 1 1/2 hours.
To find out how long it will take Iris to complete the entire floor, we can set up a proportional relationship between the time and the area of the floor cleaned.
We are given that Iris completes 2/3 of the floor in 1/3 of an hour. To find out how long it will take her to complete the entire floor, we will multiply the time by a factor.
The factor is calculated by dividing the area of the floor (1) by the part of the floor she completes in the given time (2/3). So the factor is 1 / (2/3) = 3/2.
Now, we can use the factor to find the time it will take to complete the entire floor. Since Iris completed 2/3 of the floor in 1/3 of an hour, we can multiply this time by the factor:
(1/3) * (3/2) = 1/2
Therefore, it will take Iris 1/2 hour to complete the entire floor.
The correct answer is A. 1/2 hours.