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)

Question

1/12
1 hour
2/3 hours
12 hours

Answer 1

To find out how long it will take Iris to complete the entire floor, we can use proportions.

If she completes 2/3 of the floor in 1/3 of an hour, we can set up the proportion:

(2/3 of the floor) / (1/3 hour) = (1 whole floor) / (x hours)

Cross multiplying, we get:

2/3 * x = 1/3 * 1

2/3 * x = 1/3

Multiply both sides by 3:

2x = 1

x = 1/2

Therefore, it will take Iris 1/2 hour to complete the entire floor, which is equivalent to 30 minutes.

So the correct answer is: 1/2 hour.