Juan rides his motorcycle 168 miles in 3 hours 30 minutes. What is his average speed in miles per hour?

168 miles/3.5 hours = 48 mi/h

To find Juan's average speed in miles per hour, we need to divide the total distance traveled by the total time taken.

First, let's convert 3 hours 30 minutes to hours. Since 1 hour consists of 60 minutes, we divide 30 minutes by 60 to get 0.5 hours. Therefore, the total time taken is 3 + 0.5 = 3.5 hours.

Now, we can calculate the average speed by dividing the total distance traveled (168 miles) by the total time taken (3.5 hours):

Average speed = Total distance / Total time
Average speed = 168 miles / 3.5 hours

To find the average speed, we divide 168 by 3.5:

Average speed = 168 / 3.5
Average speed ≈ 48 miles per hour

Therefore, Juan's average speed is approximately 48 miles per hour.