Jack decides she’s gonna walk to his friends house which is 1 mile from his house. He can walk a pace of 2/3 miles 16 minutes at this way how long will it take him to get his friends house?

Answer 1

To find out how long it will take Jack to walk to his friend's house, we first need to determine Jack's walking speed.

Jack walks at a pace of \( \frac{2}{3} \) miles in 16 minutes. To convert this to a speed in miles per hour, we can follow these steps:

1. Calculate miles per minute: \[ \text{Speed in miles per minute} = \frac{2/3 \text{ miles}}{16 \text{ minutes}} = \frac{2}{3 \times 16} = \frac{2}{48} = \frac{1}{24} \text{ miles per minute} \]

2. Convert miles per minute to miles per hour: Since there are 60 minutes in an hour, \[ \text{Speed in miles per hour} = \frac{1}{24} \text{ miles/minute} \times 60 \text{ minutes/hour} = \frac{60}{24} = \frac{5}{2} = 2.5 \text{ miles per hour} \]

Now that we know Jack's speed is 2.5 miles per hour, we can calculate how long it will take him to walk 1 mile.

3. Calculate time to walk 1 mile: Time \( t \) (in hours) to walk 1 mile at a speed of 2.5 miles per hour can be calculated using the formula: \[ t = \frac{\text{distance}}{\text{speed}} = \frac{1 \text{ mile}}{2.5 \text{ miles/hour}} = \frac{1}{2.5} = \frac{10}{25} = \frac{2}{5} \text{ hours} \]

4. Convert hours to minutes: \[ \frac{2}{5} \text{ hours} = \frac{2}{5} \times 60 \text{ minutes} = 24 \text{ minutes} \]

So, it will take Jack 24 minutes to walk to his friend's house.