To solve the problem, we need to determine how long it would take Anna to walk the same distance she biked, but at a different speed. Let's break this down step by step.
1. Calculate the distance Anna biked:
- Anna biked for 10 minutes at a speed of 15 miles per hour.
- First, we need to convert the time from minutes to hours because the speed is given in miles per hour.
- [tex]\(10 \text{ minutes} = \frac{10}{60} \text{ hours} = \frac{1}{6} \text{ hours}\)[/tex]
- Distance is calculated by multiplying speed by time:
- Distance biked = [tex]\(15 \text{ miles per hour} \times \frac{1}{6} \text{ hours} = 2.5 \text{ miles}\)[/tex]
2. Calculate the time it would take to walk the same distance:
- Anna will walk at a constant speed of 3 miles per hour.
- To find the time taken to walk the distance, we can use the formula:
- Time = Distance / Speed
- Walking time = [tex]\( \frac{2.5 \text{ miles}}{3 \text{ miles per hour}} \approx 0.8333 \text{ hours}\)[/tex]
3. Convert the walking time from hours to minutes:
- To convert time from hours to minutes, we multiply by 60 (since 1 hour = 60 minutes):
- Walking time in minutes = [tex]\(0.8333 \text{ hours} \times 60 \text{ minutes per hour} = 50 \text{ minutes}\)[/tex]
So, it would take Anna approximately 50 minutes to walk the same distance she biked to the grocery store.
