Sarah decides to walk to a friend's house, which is 1 mile from her house. She can walk at a rate of 2/3

Question

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

Answer 1

To find out how long it will take Sarah to walk to her friend's house, we first need to determine her walking speed in miles per minute.

1. Calculate her walking speed:

   • She walks \( \frac{2}{3} \) mile in 16 minutes.
   • To find her speed in miles per minute, we can use the following formula: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{\frac{2}{3} \text{ miles}}{16 \text{ minutes}} = \frac{2}{3} \times \frac{1}{16} = \frac{2}{48} = \frac{1}{24} \text{ miles per minute} \]

2. Determine the time to walk 1 mile:

   • Now, we can calculate how long it will take her to walk 1 mile: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{1 \text{ mile}}{\frac{1}{24} \text{ miles per minute}} = 1 \times 24 = 24 \text{ minutes} \]

Therefore, it will take Sarah 24 minutes to walk to her friend's house.