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
112
1 Start Fraction 1 over 2 End Fraction
12 hours
Start Fraction 1 over 2 End Fraction hours
23 hours
If Iris completes 2/3 of the floor in 1/3 of an hour, then she completes 1/3 of the floor in 1/3 * 2/3 = 2/9 of an hour.
To calculate how long it will take her to complete the entire floor, we can set up the following proportion:
1/3 hours (time it takes to complete 2/3 of the floor) = 2/9 hours (time it takes to complete 1/3 of the floor)
Let x be the time it takes to complete the entire floor, so we have:
2/9 = 1/3 * x
Multiplying both sides of the equation by 9:
2 = 3x
Dividing both sides of the equation by 3:
x = 2/3
Therefore, it will take Iris 2/3 of an hour to complete the entire floor.