What was your average velocity for a bike ride where you rode at 9.0 mi/hr, walked 0.5 miles to a shop in 12 minutes after developing a flat tire?

To determine the average velocity for the entire trip, you need to account for both the distance and the total time taken. When calculating average velocity, you take the total displacement (or total distance traveled in a straight line) and divide it by the total time taken for the journey.

In this scenario, the bike ride is at a speed of 9.0 mi/hr, followed by a walk of 0.5 miles to the shop in 12 minutes. First, you'll need to convert the walking time from minutes to hours for consistency. Since 12 minutes is 0.2 hours (12 minutes ÷ 60), we can now find the total distance and the total time.

1. The biking distance can be calculated from the speed. If you ride for a certain duration at 9.0 mi/hr and it’s assumed you rode for an hour. In this case, let's just represent the biking distance as D miles.

2. The total distance traveled is the sum of the biking distance and the walking distance:

Total Distance = D + 0.5 miles

3. The total time consists of the biking time plus the walking time. The biking time can be calculated from the distance D divided by the speed of