Rubio decides he is going to walk to his friend's house, which is 1 mile from his house. He can walk at a pace of 2/3

mile in 16 minutes. At this rate, how long will it take him to get to his friend’s house?(1 point)

1 answer

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.