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 1/2
1 Start Fraction 1 over 2 End Fraction

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

1 hour
1 hour

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

To find out how long it will take her to complete the entire floor, we need to determine the proportion of the floor she can complete in one hour.

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

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

To solve for x, we can cross-multiply:

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

2/3 = 1/3x

Now, we can multiply both sides of the equation by 3/1 to isolate x:

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

2 = 1x

Therefore, x = 2.

So, she can complete the entire floor in 2 hours. Answer: 2 hours.

no. 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

If Iris completes 2/3 of the floor in 1/3 of an hour, we can calculate her rate as (2/3) / (1/3) = (2/3) * (3/1) = 2.

This means that Iris can complete 2/3 of the floor per hour. To find out how long it will take her to complete the entire floor, we need to divide 1 (representing the entire floor) by her rate of 2/3.

So, 1 / (2/3) = 1 * (3/2) = 3/2 = 1 1/2.

Therefore, it will take Iris 1 1/2 hours to complete the entire floor. Answer: 1 1/2 hours.

To find out how long it will take Iris to complete the entire floor, we can use the information given in the question.

We know that Iris completes 2/3 of the floor in 1/3 of an hour.

To find out how long it will take her to complete the entire floor, we can set up a proportion using the amount of floor completed and the corresponding time taken.

Let's solve it step by step:

Amount of floor completed / Time taken = Proportion of floor completed / Time taken.

We are given that 2/3 of the floor is completed in 1/3 of an hour. So we have:

(2/3) / (1/3) = 1 (since 2/3 and 1/3 cancel out)

Therefore, for 1 unit of time (1 hour), 1 unit of floor is completed.

So, it will take Iris 1 hour to complete the entire floor. Therefore, the correct answer is:

1 hour.