To find out how long it will take Rubio to walk 1 mile to his friend's house, we first need to determine his walking speed in miles per minute.
Rubio walks \( \frac{2}{3} \) miles in 16 minutes. To find his speed in miles per minute, we'll do the following calculation:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{\frac{2}{3} \text{ miles}}{16 \text{ minutes}} = \frac{2}{3} \div 16 = \frac{2}{3} \times \frac{1}{16} = \frac{2}{48} = \frac{1}{24} \text{ miles per minute} \]
Now, to find out how long it will take him to walk 1 mile, we use the formula:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{1 \text{ mile}}{\frac{1}{24} \text{ miles per minute}} = 1 \times 24 = 24 \text{ minutes} \]
So, it will take Rubio 24 minutes to get to his friend’s house.