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 112 1 Start Fraction 1 over 2 End Fraction 12 hours Start Fraction 1 over 2 End Fraction hours 1 hour 1 hour 23 hours
To find out how long it will take Iris to complete the entire floor, we need to determine the time it takes for her to complete 1 unit of the floor.
Iris completes 23 units of the floor in 1/3 of an hour.
To find out how long it takes her to complete 1 unit of the floor, we need to divide the time taken by the units completed.
1/3 hour ÷ 23 units = 1/69 of an hour
Therefore, it will take Iris 1/69 of an hour to complete 1 unit of the floor.
To find out how long it will take her to complete the entire floor, we need to multiply the time taken for 1 unit by the total number of units.
1/69 of an hour × 69 units = 1 hour
Therefore, it will take Iris 1 hour to complete the entire floor.
To find out how long it will take Iris to complete the entire floor, we can set up a proportion to compare the fraction of the floor she sweeps per hour.
We know that Iris completes 23 parts of the floor in 13 minutes. Let's set up the proportion:
23 parts / 13 minutes = 1 whole floor / x minutes
To solve for x, we can cross multiply and then divide:
23x = 13 * 1
23x = 13
x = 13 / 23 = 0.565 hours
Therefore, it will take Iris approximately 0.565 hours to complete the entire floor.
To find out how long it will take Iris to complete the entire floor, we need to determine the fraction of the floor she can complete in one hour.
Given that Iris completes 23/13 of the floor in 1/3 of an hour, we can find the fraction of the floor she completes in one hour by multiplying this rate by 3, since 1/3 of an hour is equivalent to 1 hour multiplied by 3.
So, multiplying 23/13 by 3, we get (23/13) x 3 = 69/13.
Therefore, Iris can complete 69/13 of the floor in one hour. To find out how long it will take her to complete the entire floor, we need to divide 1 (the complete floor) by 69/13.
Dividing 1 by 69/13 can be done by multiplying 1 by the reciprocal of 69/13, which is 13/69.
So, multiplying 1 by 13/69, we get 13/69 = 0.188.
Therefore, at this rate, it will take Iris approximately 0.188 hours to complete the entire floor.