Answer:
[tex]\frac{39}{4}[/tex] Miles per hour
Step-by-step explanation:
Given:
- A bicyclist travels 6 1/2 miles in 2/3 hour
What is the average speed in miles per hour of the bicyclist?
6[tex]\frac{1}{2}[/tex] = [tex]\frac{13}{2}[/tex]
We take
[tex]\frac{13}{2}[/tex] ÷ [tex]\frac{2}{3}[/tex] = [tex]\frac{13}{2}[/tex] · [tex]\frac{3}{2}[/tex] = [tex]\frac{39}{4}[/tex] miles per hours
So, the average speed of the bicyclist is [tex]\frac{39}{4}[/tex] miles per hour.