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PLEASEEEE HELP!! 30 POINTSSS!

Juan rides his motorcycle for 0.5 hours with a constant speed of 58 mph and then for another 4 hours 17 minutes with a constant speed of 22 mph. What is his average speed for the total trip?

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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.

User Hunter Monk
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