Iris is asked to sweep the gym 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 and 1/3 of an hour at this rate, how long will it take her to complete the entire floor Choices are one hour 1 1/2 hours 1/2 hour or 2/3 thirds of an hour

Question

Iris is asked to sweep the gym 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 and 1/3 of an hour at this rate, how long will it take her to complete the entire floor Choices are one hour 1 1/2 hours 1/2 hour or 2/3 thirds of an hour

Answer 1

If Iris completes 2/3 of the floor in 1/3 of an hour, it means she completes 1/3 of the floor in 1/3 of an hour.

Therefore, it will take her 1 hour to complete the entire floor.

The correct answer is one hour.

Answer 2

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 divide the time taken to complete 2/3 of the floor by 2/3.

1/3 divided by 2/3 is equal to (1/3) / (2/3).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 2/3 is 3/2.

So, (1/3) / (2/3) is equal to (1/3) * (3/2).
When we multiply fractions, we multiply the numerators (top numbers) together, and the denominators (bottom numbers) together.

Thus, (1/3) * (3/2) is equal to (1 * 3) / (3 * 2).
Simplifying further, we get 3/6, which is equivalent to 1/2.

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

Answer 3

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

We know that Iris completes 2/3 of the floor in 1/3 of an hour. Therefore, we can set up a proportion to determine the time it takes her to complete 1/3 of the floor:

(2/3 completions) / (1/3 hour) = (1/3 completion) / (x hours)

To solve the proportion, we can cross-multiply:

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

2x/3 = 1/9

To isolate x, we can multiply both sides of the equation by 3/2:

(2x/3) * (3/2) = (1/9) * (3/2)

2x/2 = 3/18

x = 3/18

Simplifying the fraction, we get:

x = 1/6

So, it will take Iris 1/6 of an hour to complete 1/3 of the floor.

Now, to find out how long it will take her to complete the entire floor, we can multiply the time it takes to complete 1/3 of the floor (1/6 hour) by 3:

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

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

So, the correct answer is 1/2 hour.