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)

Question

Responses

1/2 hours

1 hour

1 1/2 hours

23 hours

Answer 1

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.