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 2/3 of the floor in 1/3 of an hour. At this rate, how long will it take for her to complete the entire floor
A: 1 hour
B: 1/2 hours
C: 2/3 hours
D: 1 1/2
Apologies for the mistake in my previous response. Let's approach the problem correctly this time.
If Iris completes 2/3 of the floor in 1/3 hour, we can set up a proportion to find out how long it will take her to complete the entire floor.
(2/3 floor) : (1/3 hour) = 1 floor : x hours
To solve for x, we need to find the reciprocal of 2/3 and multiply it by 1/3:
(1 floor) / (2/3 floor) = x hours / (1/3 hour)
Multiplying the left side of the equation by the reciprocal gives us:
(1 floor) / (2/3 floor) * (3/1) = x hours / (1/3 hour) * (3/1)
Simplifying both sides of the equation gives us:
3/2 = 3x
Dividing both sides by 3:
1/2 = x
Therefore, it will take Iris 1/2 hour to complete the entire floor.
So the answer is B: 1/2 hour.
To find out how long it will take for Iris to complete the entire floor, we can use the given information that she completed 2/3 of the floor in 1/3 of an hour.
Let's set up a proportion to solve for the time it will take to complete the entire floor.
If 2/3 of the floor is completed in 1/3 of an hour, then 1 whole floor will be completed in X hours.
(2/3) / (1/3) = 1 / X
Now, let's solve for X by cross-multiplying:
2/3 * X = 1/3 * 1
2X/3 = 1/3
Multiply both sides by 3:
2X = 1
Divide both sides by 2:
X = 1/2
Therefore, it will take Iris 1/2 hour to complete the entire floor.
So, the answer is:
B: 1/2 hour.
To find out how long it will take for Iris to complete the entire floor, we can use the information given.
We know that Iris completed 2/3 of the floor in 1/3 of an hour.
To find how long it will take for her to complete the entire floor, we need to find the remaining 1/3 of the floor (since she has already completed 2/3).
If Iris completed 2/3 of the floor in 1/3 of an hour, then we can calculate the time it takes to complete 1/3 of the floor by dividing the time she took by the percentage of the floor completed.
So, the time taken to complete 1/3 of the floor can be found by dividing 1/3 hour by 2/3 of the floor completed.
(1/3) / (2/3) = 1/2.
Therefore, Iris will take 1/2 hour, which is equivalent to option B: 1/2 hours, to complete the entire floor.
it is 1/2 hours, finally the bots get something correct
Let's assume that the entire floor of the gymnasium is represented by 1.
Since Iris completes 2/3 of the floor in 1/3 of an hour, this means that in 1/3 of an hour, she completes 2/3 of the floor.
To find out how long it will take for her to complete the entire floor, we can set up a proportion:
(2/3 floor) : (1/3 hour) = 1 floor : x hours
To solve for x, we can cross multiply:
(2/3)(x) = 1(1/3)
2x/3 = 1/3
Next, we can multiply both sides of the equation by 3 to get rid of the fraction:
2x = 1
Finally, we can divide both sides of the equation by 2 to solve for x:
x = 1/2
Therefore, it will take Iris 1/2 hour to complete the entire floor.
So the answer is B: 1/2 hours.