On a certain nonstop trip, Marta averaged x miles per hour for 2 hours and y miles per hour for the remaining 3 hours. What was her average speed, in miles per hour, for the entire trip?

Average speed = (2x+3y) / 5 miles/hour

Explanation:

Average speed is the total distance travelled per unit time.

Average speed = total distance/total time taken

Given;

1. Travelled x miles per hour for 2hours.

2 travelled y miles per hour for 3 hours.

Distance covered is;

1. Distance = speed * time

d1 = x * 2 = 2x

2. d2 = y * 3 = 3y

Total distance travelled = d1+d2 = 2x + 3y

Total time taken = t1+t2 = 2+3 = 5hours

Average speed = (2x+3y) / 5 miles/hour