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 repeat 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
1/2 hours
1 hour
1 1/2 hours
23 hours
To find the total time it will take for Iris to complete the entire floor, we can set up a proportion using the given information.
Let x be the total time in hours it will take for Iris to complete the entire floor.
The proportion can be set up as:
(2/3)/(1/3) = x/1
To solve for x, we can cross multiply:
(2/3) * 1 = x * (1/3)
Simplifying this equation gives:
2/3 = x/3
Cross multiplying again gives:
2 * 3 = 3 * x
6 = 3x
Dividing both sides by 3 gives:
x = 6/3
x = 2
Therefore, it will take Iris 2 hours to complete the entire floor.
So the correct answer is 2 hours.