Explanation:
To find Juan's average speed for the entire trip, we need to use the formula:
average speed = total distance ÷ total time
First, let's find the total distance Juan traveled.
Distance traveled in the first leg of the trip = speed x time = 58 mph x 0.5 hours = 29 miles
Distance traveled in the second leg of the trip = speed x time = 22 mph x 4.28 hours = 94.16 miles (we converted 17 minutes to 0.28 hours by dividing by 60)
Total distance traveled = 29 miles + 94.16 miles = 123.16 miles
Next, let's find the total time Juan spent on the trip.
Total time = time for first leg + time for second leg = 0.5 hours + 4.28 hours = 4.78 hours
Now we can use the formula to find Juan's average speed:
average speed = total distance ÷ total time = 123.16 miles ÷ 4.78 hours = 25.76 mph (rounded to two decimal places)
Therefore, Juan's average speed for the entire trip was approximately 25.76 mph.