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)

Question

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

1 hour
1 hour

23 hours
Start Fraction 2 over 3 End Fraction hours

12 hours

Answer 1

To find the amount of floor Iris can cover in 1 hour, divide 23 by 13: 23/13 = 1.76

Since it takes Iris 1.76 hours to cover 23% of the floor, it would take her approximately 1.76 hours to complete the entire floor.

So the answer is: 1 hour

Answer 2

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

Since Iris completes 23/13 of the floor in 1/3 of an hour, we can set up the proportion:

(23/13) / (1/3) = x / 1

Now, let's solve for x.

To solve the proportion, we can cross multiply:

(23/13) * 1 = (1/3) * x

23/13 = x/3

To isolate x, we can multiply both sides by 3:

(23/13) * 3 = x

69/13 = x

So, it will take Iris (69/13) hours to complete the entire floor.

Therefore, the answer is:

Start Fraction 2 over 3 End Fraction hours

Answer 3

To find out how long it will take Iris to complete the entire floor, we need to find the total time needed based on the rate she completed 23% of the floor.

First, we need to determine what portion of the floor she completes in 1 hour. We can calculate this by dividing the percentage of the floor completed (23%) by the time taken (13 minutes):

(23% / 13 minutes) = 1.769%

This gives us the rate at which she completes the floor in 1 minute.

Next, we need to calculate how many minutes it will take for her to complete 100% of the floor. We can do this by dividing 100% by the rate of completion in 1 minute:

(100% / 1.769%) = 56.6028 minutes

Since the question is asking for the time in hours, we can convert the result into hours by dividing the minutes by 60:

56.6028 minutes / 60 = 0.94338 hours

Therefore, it will take Iris approximately 1 hour to complete the entire floor.

The correct answer is "1 hour".