you live 6 miles away from a movie theatre on a particular day it takes you 18 minutes to get to the movie theatre from your house, only half as much time to get home what was your average speed in mph for driving from the theatre, driving home , and the full round trip?

r1*t = 6, r * (18/60) = 6, r1 = 20 mi/h.

r2 * (9/60) = 6, r2 = 40 mi/h.

r = (r1+r2)/2 = 60/2 = 30 mi/h. = Avg. speed when driving to and from the theatre.

To find the average speed, we need to use the formula:

Average speed = Total distance / Total time

First, let's calculate the average speed for driving from your house to the movie theater. We know the distance is 6 miles, and the time taken is 18 minutes.

Average speed = 6 miles / 18 minutes

To find the average speed in miles per hour (mph), we need to convert 18 minutes into hours. There are 60 minutes in an hour.

Average speed = 6 miles / (18 minutes / 60 minutes per hour)
Average speed = 6 miles / (18/60) hours
Average speed = 6 miles / (0.3) hours
Average speed = 20 miles per hour (mph)

Now, let's calculate the average speed for driving from the movie theater back home. We know the time taken is half of the time taken to get to the theater, which is 18 minutes / 2 = 9 minutes.

Average speed = 6 miles / (9 minutes / 60 minutes per hour)
Average speed = 6 miles / (9/60) hours
Average speed = 6 miles / (0.15) hours
Average speed = 40 miles per hour (mph)

Lastly, let's calculate the average speed for the full round trip. The total distance for the round trip is 6 miles + 6 miles = 12 miles. The total time is 18 minutes + 9 minutes = 27 minutes.

Average speed = 12 miles / (27 minutes / 60 minutes per hour)
Average speed = 12 miles / (27/60) hours
Average speed = 12 miles / (0.45) hours
Average speed = 26.67 miles per hour (mph)

So, the average speed for driving from the theater is 20 mph, for driving back home is 40 mph, and for the full round trip is 26.67 mph.