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

Question

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

1 1/2
1 Start Fraction 1 over 2 End Fraction

2/3
hours
Start Fraction 2 over 3 End Fraction hours

1 hour
1 hour

1/2
hours

Answer 1

To find out how long it will take Iris to complete the entire floor, we can set up a proportion based on the information given.

Since Iris completes \( \frac{2}{3} \) of the floor in \( \frac{1}{3} \) of an hour, we can establish the relationship:

• If \( \frac{2}{3} \) of the floor takes \( \frac{1}{3} \) hour, then \( 1 \) full floor would take

\[ \text{Time for 1 floor} = \left(\frac{1 \text{ hour}}{\frac{2}{3} \text{ floor}}\right) \cdot 1 \text{ floor} = \frac{1}{\frac{2}{3}} = \frac{3}{2} = 1.5 \text{ hours}. \]

So, it will take her \( 1 \frac{1}{2} \) hours (or \( 1.5 \) hours) to complete the entire floor.

Thus, the answer is: 1 1/2 hours.