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

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

1/2 hours

1 hour

2/3 hours

1 1/2

Answer 1

To find the answer, we can set up a proportion. Iris completes 2/3 of the floor in 1/3 of an hour. Let's let x be the time it takes for her to complete the entire floor.

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

To solve for x, we can cross multiply:

2/3 * x = 1 * 1/3

2x = 1/3

Now, let's solve for x by dividing both sides by 2:

x = (1/3) / 2
x = 1/3 * 1/2
x = 1/6

Therefore, it will take Iris 1/6 of an hour to complete the entire floor. This is equal to 1/6 * 60 minutes = 10 minutes.

So, the answer is: It will take her 10 minutes to complete the entire floor.

Answer 2

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 write the proportion as:

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

To solve for x, we can cross-multiply:

2/3 * x = 1/3 * 1

Multiply both sides by 3 to get rid of the fractions:

2x = 1

Divide both sides by 2:

x = 1/2

So, it will take Iris 1/2 hour to complete the entire floor. Therefore, the correct answer is:

1/2 hour

Answer 3

To find out how long it will take Iris to complete the entire floor, we can use the information given. It states that she completes 2/3 of the floor in 1/3 of an hour.

To determine the rate at which she sweeps the floor, we can divide the fraction of the floor she completed (2/3) by the fraction of an hour it took her (1/3).

2/3 divided by 1/3 equals 2.

So, Iris sweeps the floor at a rate of 2 units of floor per hour.

To find out how long it will take her to complete the entire floor, we can divide the total floor area by the rate at which she sweeps the floor.

Since she has already completed 2/3 of the floor, she has 1/3 remaining to complete.

Dividing 1/3 by the rate of 2 units per hour:

(1/3) / (2 units/hour) = 1/6 hours.

Therefore, it will take Iris 1/6 of an hour, which is equivalent to 10 minutes, to complete the entire floor.

So the correct answer is 1/6 hours.