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
1 hour
1 hour
23 hours
Start Fraction 2 over 3 End Fraction hours
12 hours
Start Fraction 1 over 2 End Fraction hours
112
hours
To find out how long it will take Iris to complete the entire floor, we can set up a proportion using the given information.
We know that she completes 2/3 of the floor in 1/3 of an hour. Let's represent the time it takes her to complete the entire floor as "x" hours.
So, we can set up the proportion:
(2/3) / (1/3) = 1 / x
To solve for x, we can cross multiply:
(2/3) * x = 1 * (1/3)
2x/3 = 1/3
Now, we can solve for x by multiplying both sides of the equation by 3/2:
(3/2) * (2x/3) = (3/2) * (1/3)
(3/2) * (2/3) * x = 1/2
3x/3 = 1/2
x = 1/2
So, it will take Iris 1/2 hour (or 30 minutes) to complete the entire floor.
Therefore, the correct answer is: 1/2 hour.
To answer this question, we need to find out the time it takes for Iris to complete 1/3 of the gymnasium floor. We are given that Iris completes 2/3 of the floor in 1/3 of an hour.
To find the time it takes to complete 1/3 of the floor, we can set up a proportion. Let's call the time it takes to complete the entire floor "x" hours.
So, the proportion would be:
(2/3) / (1/3) = x / 1
To solve for x, we can cross multiply:
2/3 * 1 = (1/3) * x
2/3 = x/3
To isolate x, we can multiply both sides of the equation by 3:
(2/3) * 3 = (x/3) * 3
2 = x
Therefore, Iris will take 2 hours to complete the entire floor.