To find out how long it will take Michael to ride the entire bike trail, we can set up a proportion based on the information provided.
Michael has traveled \( \frac{4}{5} \) of the total distance in 2 hours.
Let \( T \) be the total time it takes Michael to travel the entire distance. Then we can set up the following equation based on the proportion of distance traveled:
\[ \frac{4}{5}T = 2 \text{ hours} \]
To find \( T \), we can solve for it:
Multiply both sides by \( \frac{5}{4} \):
\[ T = 2 \times \frac{5}{4} = \frac{10}{4} = \frac{5}{2} \text{ hours} \]
The fraction \( \frac{5}{2} \) hours is equivalent to 2 and a half hours, or \( 2 \frac{1}{2} \) hours.
So the answer is:
2 and 1 half hours