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 /12
1 Start Fraction 1 over 2 End Fraction

1 hour
1 hour

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

2/3 hours

To find out how long it takes Iris to complete the entire floor, we can set up a proportion.

Let x be the time it takes for her to complete the entire floor.

We know that Iris completes 2/3 of the floor in 1/3 of an hour, so we can set up the proportion:

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

Simplifying the left side of the equation:

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

2 = 1 / x

To solve for x, we can take the reciprocal of both sides:

1/2 = x

So, it will take her 1/2 hour or 30 minutes to complete the entire floor.

Therefore, the answer is 1/2 hours.

Find the quotient of 12 and 127 .

To find the quotient of 12 and 127, divide 12 by 127:

12 รท 127 = 0.09448818898 (rounded to the nearest ten-thousandth)

The quotient is approximately 0.0945.

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

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 fraction of the floor completed and the time taken.

Let "x" represent the time it will take her to complete the entire floor.

So we have:

2/3 (fraction of the floor completed) = 1/3 (time taken)

To find "x," we can cross multiply and solve for it:

2/3 * x = 1/3 * 1

Multiplying both sides by 3/2, we get:

x = 1/2

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

So the correct answer is "1/2 hours" or "Start Fraction 1 over 2 End Fraction hours."