What is the average velocity of a person rollerblading who travels 2.3 km at 8 km/hr and then walks 0.8 km in 10 minutes?

What is the average velocity of a person rollerblading who travels 2.3 km at 8 km/hr and then walks 0.8 km in 10 minutes?

• A. 5.4 km/hr
• B. 6.7 km/hr
• C. 7.2 km/hr
• D. 8.0 km/hr

Answer: (B)

To determine the average velocity of the person rollerblading and then walking, we need to calculate the total distance traveled and the total time taken. First, let's find the total distance. The person travels 2.3 km while rollerblading and then walks 0.8 km, which sums up to: Total distance = 2.3 km + 0.8 km = 3.1 km Now, we need to calculate the total time taken for both activities. For rollerblading, the speed is 8 km/hr. The time can be calculated using the formula: Time = Distance / Speed This gives us the time taken for the rollerblading portion: Time for rollerblading = 2.3 km / 8 km/hr = 0.2875 hours (or about 17.25 minutes) Next, we need the time taken for the walking portion. The person walks 0.8 km in 10 minutes. First, convert the walking time to hours: 10 minutes = 10/60 hours = 1/6 hours ≈ 0.1667 hours Now, we can find the total time taken: Total time = Time for rollerblading + Time for walking

To determine the average velocity of the person rollerblading and then walking, we need to calculate the total distance traveled and the total time taken.

First, let's find the total distance. The person travels 2.3 km while rollerblading and then walks 0.8 km, which sums up to:

Total distance = 2.3 km + 0.8 km = 3.1 km

Now, we need to calculate the total time taken for both activities.

For rollerblading, the speed is 8 km/hr. The time can be calculated using the formula:

Time = Distance / Speed

This gives us the time taken for the rollerblading portion:

Time for rollerblading = 2.3 km / 8 km/hr = 0.2875 hours (or about 17.25 minutes)

Next, we need the time taken for the walking portion. The person walks 0.8 km in 10 minutes. First, convert the walking time to hours:

10 minutes = 10/60 hours = 1/6 hours ≈ 0.1667 hours

Now, we can find the total time taken:

Total time = Time for rollerblading + Time for walking