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 23 of the floor in 13 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 23 of the floor in 13 of an hour. At this rate, how long will it take her to complete the entire floor?(1 point)

Responses

23 hours
Start Fraction 2 over 3 End Fraction hours

112
1 Start Fraction 1 over 2 End Fraction

12 hours
Start Fraction 1 over 2 End Fraction hours

1 hour

Answer 1

The correct answer is 2/3 hours or Start Fraction 2 over 3 End Fraction hours.

Answer 2

To find out how long it will take Iris to complete the entire floor, we need to calculate the time it takes her to complete 1/23 of the floor and then multiply that time by 23.

Given that she completes 23/13 of the floor in 1/3 of an hour, we can set up a proportion to find the time it takes to complete 1/23 of the floor:

(23/13) / (1/3) = (1/23) / x

To solve for x, we can cross-multiply:

(23/13) * x = (1/23) * (1/3)

Simplifying the equation, we get:

x = (1/23) * (1/3) * (13/23)

x = 1/9

Therefore, it takes Iris 1/9 of an hour to complete 1/23 of the floor.

To find out how long it will take her to complete the entire floor, we multiply the time it takes to complete 1/23 of the floor (1/9 of an hour) by 23:

(1/9) * 23 = 23/9

So, at this rate, it will take Iris 23/9 of an hour to complete the entire floor.

Simplifying the fraction, we get:

23/9 = 2 and 5/9

Therefore, it will take Iris approximately 2 hours and 55 minutes to complete the entire floor.

Answer 3

To solve this problem, we need to find out how long it would take Iris to complete the entire floor based on the fraction of the floor she completed in a given time.

First, let's find out the fraction of the floor Iris can sweep in 1 hour. We know she completed 23 of the floor in 13 of an hour. To find out the fraction per hour, we divide 23 by 13:

23 / 13 = Start Fraction 23 over 13 End Fraction

So, Iris can sweep Start Fraction 23 over 13 End Fraction of the floor in 1 hour.

Now, to find out how long it would take her to complete the entire floor, we can set up a proportion using the fraction per hour.

Let's represent the time it would take to complete the entire floor as "t" (in hours):

Start Fraction 23 over 13 End Fraction = Start Fraction 1 over t End Fraction

To solve for "t," we can cross-multiply:

23t = 13

Now, divide both sides by 23 to solve for "t":

t = 13 / 23

So, Iris would take Start Fraction 13 over 23 End Fraction of an hour to complete the entire floor.

However, to express this time in a simplified form, we can write it as a mixed number. To do this, we divide 13 by 23 and express it as a mixed number:

13 divided by 23 = 0 remainder 13

So, the mixed number is Start Fraction 0 Start Fraction 13 over 23 End Fraction End Fraction = Start Fraction 13 over 23 End Fraction.

Therefore, it would take Iris approximately Start Fraction 13 over 23 End Fraction of an hour, or approximately Start Fraction 2 over 3 End Fraction of an hour, to complete the entire floor.