Correct answer is [tex]\frac{5}{3}[/tex]km/h
Solution:-
Given that Lan walks 2km to his best friend's house, then walks 0.5km to the library and then he walks 2.5km alone.
So total distance walked by Lan is 2+0.5+2.5 = 5km
And to cover five km, he took three hours.
Average speed means "ratio of total distance covered to time elapsed to cover that distance."
Average speed = [tex]\frac{total distance covered}{time elapsed}[/tex]
=[tex]\frac{5}{3}[/tex]
Hence Lan's average speed is [tex]\frac{5}{3} km/h[/tex]