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)

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.

Answer 2

To find out how long it will take Iris to complete the entire floor, we need to determine the time it takes for her to complete 1/3 of the floor and then multiply it by 3.

Given that Iris completes 2/3 of the floor in 1/3 of an hour, we can determine the time it takes to complete 1/3 of the floor by dividing the time by the fraction achieved.

1/3 ÷ 2/3 = 1/3 x 3/2 = 1/2

So, it takes Iris 1/2 of an hour to complete 1/3 of the floor.

To find out how long it will take her to complete the entire floor, we multiply the time taken for 1/3 of the floor by 3.

1/2 hour x 3 = 3/2 = 1 ½ hours

Therefore, it will take Iris 1 ½ hours to complete the entire floor.

Answer 3

To find out how long it will take Iris to complete the entire floor, we can use proportion. We know that she completed 2/3 of the floor in 1/3 of an hour.

Let's set up the proportion:

(2/3 floor) / (1/3 hour) = (1 floor) / (x hours)

To solve for x (the time it will take to complete the entire floor), we can cross-multiply and find the value of x.

(2/3 floor) * (x hours) = (1/3 hour) * (1 floor)

2x / 3 = 1 / 3

Now, let's isolate the variable x by multiplying both sides of the equation by 3.

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

2x = 1

Finally, divide both sides of the equation by 2 to solve for x.

2x / 2 = 1 / 2

x = 1/2

Therefore, it will take Iris 1/2 hour to complete the entire floor. As a decimal, this would be 0.5 hours or 30 minutes.

So, the correct answer is 1/2 hour.