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 for her to complete the entire floor

A: 1 hour

B: 1/2 hours

C: 2/3 hours

D: 1 1/2

4 answers

Let's assume that the entire floor of the gymnasium is represented by 1.

Since Iris completes 2/3 of the floor in 1/3 of an hour, this means that in 1/3 of an hour, she completes 2/3 of the floor.

To find out how long it will take for her to complete the entire floor, we can set up a proportion:

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

To solve for x, we can cross multiply:

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

Next, we can multiply both sides of the equation by 3 to get rid of the fraction:

2x = 1

Finally, we can divide both sides of the equation by 2 to solve for x:

x = 1/2

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

So the answer is B: 1/2 hours.
Are you sure
Apologies for the mistake in my previous response. Let's approach the problem correctly this time.

If Iris completes 2/3 of the floor in 1/3 hour, we can set up a proportion to find out how long it will take her to complete the entire floor.

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

To solve for x, we need to find the reciprocal of 2/3 and multiply it by 1/3:

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

Multiplying the left side of the equation by the reciprocal gives us:

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

Simplifying both sides of the equation gives us:

3/2 = 3x

Dividing both sides by 3:

1/2 = x

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

So the answer is B: 1/2 hour.
it is 1/2 hours, finally the bots get something correct