MATH SOLVE

4 months ago

Q:
# You have already traveled 30 miles east and then 30 miles north. To get back to the start, you travel 30 miles west in 1 hour and then 30 miles south in a half hour. What are your average speed and average velocity for the whole rally?

Accepted Solution

A:

Answer:The average speed for the whole rally is 45 miles per hour.Step-by-step explanation:Given:You have traveled 30 miles east and then 30 miles north. To get back to the start, I travel 30 miles west in 1 hour and then 30 miles south in a half hour. Now, to find the average speed for the whole rally.So, for getting the speed of 30 miles west in 1 hour.By putting formula:[tex]Speed = \frac{distance}{time}[/tex][tex]Speed = \frac{30}{1}[/tex][tex]Speed = 30\ miles\ per\ hour[/tex]Now, to get the speed of 30 miles south in half hour same way as above:[tex]Speed=\frac{30}{0.5}[/tex][tex]Speed = 60\ miles\ per\ hour[/tex]Then, to get the average speed.We calculate the average of both the speed:[tex]Average=\frac{30+60}{2}[/tex][tex]Average=\frac{90}{2}[/tex][tex]Average=45 miles\ per\ hour.[/tex]Therefore, the average speed for the whole rally is 45 miles per hour.