You drove the first 10 miles of your trip at an average speed of 30 miles per hour and then drove the next 10 miles at an average speed of 50 miles per hour. What was the average speed, in miles per hour, of your 20 mile trip

37.74 miles per hour

Step-by-step explanation:

The average speed of an object is the total distance traveled by the object divided by the elapsed time to cover that distance

Step one:

Given data

We are told that The first 10 miles of your trip at an average speed of 30 miles per hour

time= distance/speed

time= 10/30

time= 0.33 hours

or 20 minutes

The next 10 miles at an average speed of 50 miles per hour

time= 10/50

time= 0.2 hour or 12 minutes

Step two:

The total time= 0.33+0.2= 0.53

The average speed= total distance/total time

Average speed= 20 /0.53

Average speed= 37.74 miles per hour