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

1 hour
1 hour

112
1 Start Fraction 1 over 2 End Fraction

23 hours
Start Fraction 2 over 3 End Fraction hours

12 hours
Start Fraction 1 over 2 End Fraction hours
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To find out how long it will take Iris to complete the entire floor, we can set up a proportion.

If Iris completes 23 of the floor in 1/3 of an hour, then she completes 1/3 * 3 = 1 full floor in 1 hour.

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

Answer: 1 hour

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

We know that Iris completes 23/13 of the floor in 1/2 hour.

Let's set up the proportion:

(23/13) / (1/2) = 1 / x

To solve for x, we can cross multiply:

(23/13) * x = 1/2

Now, we can divide both sides by 23/13 to isolate x:

x = (1/2) / (23/13)

To divide fractions, we can multiply the numerator by the reciprocal of the denominator:

x = (1/2) * (13/23)

x = 13/46

So, Iris will take 13/46 hours to complete the entire floor.

To find out how long it will take Iris to complete the entire floor, we need to figure out the proportion of the floor she can sweep in one hour.

In this case, we know that she completed 23 of the floor in 13 of an hour. To find out how much she can complete in one hour, we can multiply this proportion by 60 minutes, since there are 60 minutes in an hour.

First, let's find out how much she can complete in one minute. We divide 23 by 13 to get the amount she completes in one minute:

23 / 13 = 1.77

Now, let's find out how much she can complete in one hour. We multiply the amount she can complete in one minute (1.77) by 60:

1.77 * 60 = 106.2

So, Iris can complete approximately 106.2 of the floor in one hour.

Now, to find out how long it will take her to complete the entire floor, we need to divide the total area of the floor by the rate at which she can complete it in one hour:

Total floor area / rate per hour = time to complete the entire floor

Since we don't have the total floor area given in the question, we can't find the exact answer. The possible time options provided are incorrect, as we are missing information about the total floor area.