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
Start Fraction 1 over 2 End Fraction hours
23 hours
Start Fraction 2 over 3 End Fraction hours
1 hour
1 hour
112
Based on the given information, Iris is able to complete 2/3 of the floor in 1/3 of an hour. To find out how long it will take for her to complete the entire floor, we can set up a proportion.
Let x represent the time it takes for her to complete the entire floor. The proportion can be set up as follows:
(2/3)/(1/3) = 1/x
To solve this proportion, we can multiply both sides by x to eliminate the fraction.
2/3 * x = 1/3
Next, we can solve for x by dividing both sides by 2/3.
x = (1/3)/(2/3)
x = 1/3 * 3/2
x = 1/2
Therefore, it will take Iris 1/2 of an hour or 30 minutes to complete the entire floor.