Question

Iris is asked to switch the gymnasium floor after a basketball game this requires her to push the sweeper from one end of the gym to the other and repeating the pattern till she has covered the entire floor she can please 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 A1 and 1/2 hours b2/3 hours see one half hours d 1 hour

Answer 1

To find out how long it will take Iris to complete the entire gym floor, we start with the information given:

• Iris can clean \( \frac{2}{3} \) of the floor in \( \frac{1}{3} \) of an hour.

To determine how long it takes her to clean the entire floor, we can set up a proportion. If she cleans \( \frac{2}{3} \) of the floor in \( \frac{1}{3} \) of an hour, we can calculate the time to clean \( 1 \) whole floor as follows:

Let \( t \) be the time taken to clean 1 whole floor:

\[ \frac{2}{3} \text{ floor} \rightarrow \frac{1}{3} \text{ hour} \]

To find the time for 1 whole floor, we calculate:

\[ 1 \text{ floor} \rightarrow t \text{ hour} \]

Setting up the proportion:

\[ \frac{2/3}{1/3} = \frac{1}{t} \]

Cross-multiplying gives:

\[ 2/3 \cdot t = 1/3 \]

Now, solving for \( t \):

\[ t = \frac{1/3}{2/3} = \frac{1}{2} \]

So \( t = \frac{1}{2} \) hours.

Thus, it will take Iris \( \frac{1}{2} \) hour (or 30 minutes) to complete the entire floor.

The answer is c) one half hours.