Irish 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 two over three of the floor in 1/3 of an hour at this rate how long will it take her to complete the entire floor?
From the given information, we know that Irish completes two-thirds (2/3) of the floor in 1/3 of an hour (1/3 hr).
To find out how long it will take her to complete the entire floor, we can set up a proportion using the rate of completion:
(2/3) floor / (1/3) hour = 1 floor / x hours
Since the rates of completion are equal, we can cross-multiply:
(2/3) * x = (1/3) * 1
Multiply both sides of the equation by 3/2 to isolate the variable:
x = (1/3) * (3/2)
Simplifying:
x = 1/2
Therefore, it will take Irish 1/2 hour (30 minutes) to complete the entire floor.
If Irish completes two over three of the floor in 1/3 of an hour, then it takes her 1/3 * 3/2 = <<1/3*3/2=1/2>>1/2 hour to complete two-thirds of the floor.
Therefore, it will take her 1/2 * 2 = <<1/2*2=1>>1 hour to complete the entire floor. Answer: \boxed{1}.
To find out how long it will take Irish to complete the entire floor, we can use the given information that she completes two-thirds (2/3) of the floor in one-third (1/3) of an hour.
Let's set up a proportion to solve the problem:
Amount of floor completed / Time taken = Total floor / Total time
Since Irish completes 2/3 of the floor in 1/3 of an hour, we can substitute these values into the proportion:
2/3 / 1/3 = 1 / x
We can simplify the left side of the equation:
2/3 / 1/3 = (2/3) * (3/1) = 2
So the equation becomes:
2 = 1 / x
To solve for x, we can cross-multiply:
2 * x = 1
x = 1 / 2
Therefore, it will take Irish 1/2 of an hour to complete the entire floor.