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 her to complete the entire floor?(1 point) Responses 2/3 hours Start Fraction 2 over 3 End Fraction hours 1 hour 1 hour 1 1/2 1 Start Fraction 1 over 2 End Fraction 1/2 hours.
Since Iris completes 2/3 of the floor in 1/3 of an hour, she completes 1/3 of the floor in 1/3 of an hour. Therefore, it would take her 1 hour to complete the entire floor.
We are given that Iris completes 2/3 of the floor in 1/3 of an hour.
To find out how long it will take 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 = 1/3 * 1
2x/3 = 1/3
Multiplying both sides by 3:
2x = 1
Dividing both sides by 2:
x = 1/2
Therefore, it will take Iris 1/2 hour to complete the entire floor.
To find out how long it will take Iris to complete the entire floor, we first need to determine her rate of sweeping.
Given that she completes 2/3 of the floor in 1/3 of an hour, we can represent her rate as (2/3) floor / (1/3) hour. To simplify this, we can multiply the numerator and denominator by the reciprocal of the denominator:
(2/3) floor / (1/3) hour = (2/3) floor * (3/1) hour = (2/1) floor/hour = 2 floor/hour
So, Iris sweeps at a rate of 2 floors per hour.
To calculate the time required to complete the entire floor, we can use the formula: time = distance / rate.
The whole floor can be represented as 1 floor, and the rate of sweeping is 2 floors per hour.
So, the time it will take Iris to complete the entire floor is:
time = 1 floor / 2 floors per hour = 1/2 hour = 0.5 hours.
Therefore, it will take Iris 0.5 hours (or 1/2 hour) to sweep the entire floor.