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 pls choice
To find out how long it will take Iris to complete the entire floor, we can use ratios.
If Iris completed 23% of the floor in 1/3 of an hour, then we can set up the following proportion:
23/100 = x/1
To solve for x, we can use cross multiplication:
100x = 23
Dividing both sides by 100 gives:
x = 23/100
Converting this fraction to a decimal gives:
x = 0.23
Therefore, it will take Iris 0.23 hours to complete the entire floor.
Since 0.23 hours is equivalent to 0.23 * 60 = 13.8 minutes, we can round up to the nearest minute.
Therefore, it will take Iris approximately 14 minutes to complete the entire floor.
The correct response is 14.
To find out how long it will take Iris to complete the entire floor, we can use the given information about her speed. Iris completes 23% of the floor in 1/3 of an hour.
To find out how long it will take Iris to complete 100% of the floor, we need to determine how many of these 23% portions make up the entire floor.
We can calculate this by dividing 100 by 23.
100 / 23 = 4.347826087
This means that it will take Iris approximately 4.35 (rounded to 2 decimal places) of these 23% portions to complete the entire floor.
Now, we can multiply the time it takes Iris to complete one 23% portion (1/3 of an hour) by 4.35 to find the total time.
(1/3) x 4.35 ≈ 1.45
So, it will take Iris approximately 1.45 (rounded to 2 decimal places) hours to complete the entire floor.
To find out how long it will take Iris to complete the entire floor, we need to determine how much time she takes to complete 1 unit of the floor.
Given that she completes 23 units of the floor in 1/3 of an hour, we can calculate the time it takes for her to complete 1 unit using the following equation:
Time taken to complete 1 unit = (Time taken to complete 23 units) / 23
Plugging in the values, we get:
Time taken to complete 1 unit = (1/3) hour / 23 = 1/69 hour
Now, to calculate how long it will take her to complete the entire floor (which consists of 69 units), we multiply the time taken for 1 unit by the total number of units:
Total time taken to complete entire floor = (Time taken to complete 1 unit) * 69
Plugging in the values, we get:
Total time taken to complete entire floor = (1/69) hour * 69 = 1 hour
Therefore, it will take Iris 1 hour to complete the entire floor.