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

Responses

2/3 hours
Start Fraction 2 over 3 End Fraction hours

1 hour
1 hour

1 1/2
1 Start Fraction 1 over 2 End Fraction

12 hours

Answer 1

To find out how long it will take Iris to complete the entire floor, we can set up a proportion.

Since she completes 2/3 of the floor in 1/3 of an hour, we can say:

(2/3) / (1/3) = 1 / x

Cross-multiplying, we get:

(2/3) * x = 1/3

Now, we can solve for x:

2x/3 = 1/3

Multiplying both sides by 3/2, we get:

x = 1/2

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