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?
If Iris completed 23 of the floor in 1/3 of an hour, it means she completed 1/13 of the floor in 1/3 * 13 = 4/3 hours.
Since 1/13 of the floor takes 4/3 hours to complete, the entire floor will take 13/1 * 4/3 = <<13/1*4/3=17.333>>17.333... hours to complete.
It will take her approximately 17 hours and 20 minutes to complete the entire floor. Answer: \boxed{17}.
what is 17 hours and 20 min in a fraction
To convert 17 hours and 20 minutes into a fraction, we need to find the equivalent fraction of 20 minutes in terms of hours. Since there are 60 minutes in an hour, we divide 20 minutes by 60 to get its equivalent fraction in hours:
20 minutes รท 60 minutes/hour = 1/3 hour
Therefore, 17 hours and 20 minutes is equivalent to 17 + 1/3 = 51/3 + 1/3 = 52/3 hours.
So, 17 hours and 20 minutes is equal to the fraction 52/3.
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
1/2 hours
1 1/2
2/3 hours
To find out how long it will take Iris to complete the entire floor, we can set up a proportion using the completed fraction and the time taken.
Since Iris completed 23 of the floor in 1/3 of an hour, we can write the proportion as:
23/1 = x/1/3
To solve for x, we can multiply both sides of the equation by 1/3:
(23/1) * (1/3) = x
23/3 = x
Therefore, it will take Iris 23/3 hours to complete the entire floor. This can also be expressed as 7 2/3 hours.
So the answer is: 7 2/3 hours
To find out how long it will take for Iris to complete the entire floor, we can use the concept of proportions.
Let's first calculate the fraction of the gymnasium floor Iris completes in one hour.
Iris completes 23 parts of the floor in 13 of an hour. So, she completes 23/13 parts of the floor in one hour.
Now, we can set up the proportion:
completed parts in one hour / total parts in the floor = time taken to complete the entire floor / 1 hour
23/13 / 1 = 1 / x
Cross-multiplying, we get:
23/13 = 1/x
To solve for x, we can multiply both sides by x and divide both sides by 23:
23x = 13
x = 13/23
Therefore, it will take Iris approximately 13/23 of an hour to complete the entire floor or about 0.565 hours (rounded to three decimal places).
To solve this problem, we need to find the rate at which Iris is completing the floor and then use that rate to determine how long it will take her to complete the entire floor.
We are given that Iris completes 23/13 of the floor in 1/3 of an hour. To find her completion rate, we can use the equation:
Rate = Amount / Time
Let's calculate Iris's rate:
Rate = (23/13) / (1/3)
To divide fractions, we multiply by the reciprocal of the second fraction:
Rate = (23/13) * (3/1)
Rate = (23 * 3) / (13 * 1)
Rate = 69/13
So, Iris completes 69/13 of the floor in one hour.
Now, we need to find how long it will take her to complete the entire floor. Let's use the equation again:
Rate = Amount / Time
We know the amount is 1 (representing the entire floor), and we want to find the time.
Let's set up the equation:
69/13 = 1 / Time
To solve for Time, we can rearrange the equation:
Time = 1 / (69/13)
To divide by a fraction, we multiply by its reciprocal:
Time = 1 * (13/69)
Time = 13/69
Now we can simplify this fraction:
Time = 1/5.31
So, it will take Iris approximately 0.188 hours (or approximately 11.3 minutes) to complete the entire floor.
Therefore, it will take her approximately 0.188 hours (or approximately 11.3 minutes) to complete the entire floor.