Question part

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You ride your bike for 1.5 h at an average velocity of 11 km/h, then for 30 min at 15 km/h. What is your average velocity?

To find the average velocity, we need to calculate the total displacement and the total time spent.

First, let's calculate the total distance traveled. For the first part of the trip, you rode for 1.5 hours at an average velocity of 11 km/h. Therefore, the distance traveled in the first part is:

Distance = Velocity x Time
Distance1 = 11 km/h x 1.5 h

Next, let's calculate the distance traveled in the second part of the trip. You rode for 30 minutes at an average velocity of 15 km/h. Since we need the time in hours, we'll convert 30 minutes to hours by dividing it by 60:

Time2 = 30 min / 60 = 0.5 h

Now, let's calculate the distance traveled in the second part:

Distance2 = 15 km/h x 0.5 h

To find the total distance traveled, we'll add the distances from both parts:

Total Distance = Distance1 + Distance2

Finally, to calculate the average velocity, we divide the total distance traveled by the total time spent:

Average Velocity = Total Distance / Total Time

Substituting the values we calculated for the distances and times, we can find the answer to the problem.