To find the time it will take Iris to complete the entire floor, we can set up a proportion. Since Iris completes 2/3 of the floor in 1/3 of an hour, we can write the proportion as:
(2/3) / (1/3) = 1 / x
To solve for x, the time it will take Iris to complete the entire floor, we can cross-multiply:
(2/3) * x = (1/3) * 1
Multiplying both sides:
(2/3)x = 1/3
To isolate x, we can multiply both sides by the reciprocal of 2/3, which is 3/2:
(3/2) * (2/3)x = (3/2) * (1/3)
Simplifying:
x = 1/2
Therefore, it will take Iris 1/2 hour to complete the entire floor. The answer is B. 1/2 hours.
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?
A. 1 hour
B. 1/2 hours
C. 2/3 hours
D. 1 1/2
1 answer
1 answer