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

1 hour
1 hour

112
1 Start Fraction 1 over 2 End Fraction

12 hours

To find the answer, we can set up a proportion:

23/13 = x/1

Cross-multiplying, we get:

23 * 1 = 13 * x

23 = 13x

Dividing both sides by 13, we get:

x = 23/13

So, it will take her 23/13 hours to complete the entire floor. This can also be written as 1 and 10/13 hours or approximately 1.77 hours. Therefore, the correct answer is "Start Fraction 2 over 3 End Fraction hours" or "1 and 10/13 hours".

To find the time it will take Iris to complete the entire floor, we can set up a proportion using the amount of floor she completed in a certain amount of time.

Let's use the following information:
Amount of floor completed: 23 of the floor
Time taken to complete: 13 of an hour

To find the time it will take her to complete the entire floor, we can set up the following proportion:

(23 of floor) / (13 of an hour) = (1 floor) / (x hours)

Cross-multiplying gives us:

23 * x = 13 * 1

Simplifying,

23x = 13

Dividing both sides by 23,

x = 13 / 23

So Iris will take 13/23 of an hour to complete the entire floor.

Therefore, the answer is:
Start Fraction 13 over 23 End Fraction of an hour.

To find the time it will take for Iris to complete the entire floor, we can set up a proportion using the given information.

First, we know that Iris completes 23 of the floor in 13 of an hour. We can express this as the fraction 23/13.

Next, we want to find out how long it will take for Iris to complete the entire floor. Let's represent this unknown time as x hours.

Now, we can set up the proportion:
23/13 = 1/x

To solve for x, we can cross-multiply and then divide:
23x = 13
x = 13/23

So the answer is approximately 13/23 hours, which can be simplified to 2/3 hours.

Therefore, the correct answer is: Start Fraction 2 over 3 End Fraction hours.