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
12 hours
Start Fraction 1 over 2 End Fraction hours
23 hours
To find out how long it will take Iris to complete the entire floor, we need to find the ratio between the amount of floor she completes and the time it takes.
We know that she completes 23 of the floor in 13 of an hour.
To find out how much floor she completes in 1 hour, we can set up a proportion:
23/13 = x/1
Cross multiplying, we get:
23 = 13x
Dividing both sides by 13, we find that:
x = 23/13
So, it would take her 23/13 hours, or approximately 1 hour and 46 minutes, to complete the entire floor.
Therefore, the correct answer is 112.
A B C OR D
D
To find the answer, we can use a proportion. Let's set up the proportion using the given information:
23 of the floor is completed in 13 of an hour.
We can set up the proportion as follows:
23 floor / 13 hour = 1 (complete floor) / x (unknown time)
To solve for x, we can cross multiply and solve for x:
23 floor * x = 13 hour * 1
23x = 13
Now, divide both sides of the equation by 23:
x = 13 / 23
x = 0.565
Therefore, it would take Iris approximately 0.565 of an hour to complete the entire floor.
In fraction form, this can be simplified as:
x = 13/23
So, the answer is approximately 13/23 of an hour to complete the entire floor.