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

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

1 hour
1 hour

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

1 1/2

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 work she has already completed.

Iris completes \( \frac{2}{3} \) of the floor in \( 1.3 \) hours. To find the time to complete the entire floor, we can set up a ratio:

\[ \text{Time for entire floor} = \frac{\text{Time for } \frac{2}{3} \text{ of the floor}}{\frac{2}{3}} = \frac{1.3\text{ hours}}{\frac{2}{3}} \]

Calculating the right side, we can multiply \( 1.3 \) by the reciprocal of \( \frac{2}{3} \):

\[ \text{Time for entire floor} = 1.3 \times \frac{3}{2} \]

Calculating that gives:

\[ 1.3 \times 1.5 = 1.95 \text{ hours} \]

Thus, it will take her approximately \( 1.95 \) hours to complete the entire floor, which is \( 1 \) hour and \( 57 \) minutes.

We can approximate \( 1.95 \) hours to \( 2 \) hours as the answer.

However, none of the options provided (1/2 hours, 1 hour, 2/3 hours, 1 1/2 hours) corresponds to \( 1.95 \) hours.

Please double-check the answer choices or any assumptions made in the solution process. If additional choices were provided, the correct answer could be found from those.