Question
In 2 hours Dan hiked 4/5 of the total distance what is the total time to hike the full diy
Answers
GPT-4o mini
Let the total distance be \( D \). According to the problem, Dan hiked \( \frac{4}{5}D \) in 2 hours.
To find the total time to hike the full distance \( D \), we first need to determine the rate at which Dan is hiking.
If \( \frac{4}{5}D \) takes 2 hours, we can find the rate \( R \) as follows:
\[
R = \frac{\text{Distance}}{\text{Time}} = \frac{\frac{4}{5}D}{2} = \frac{4D}{10} = \frac{2D}{5} \text{ (distance per hour)}
\]
Now that we have the rate \( R \), we can find the total time \( T \) it takes to hike the full distance \( D \):
\[
T = \frac{\text{Total Distance}}{\text{Rate}} = \frac{D}{\frac{2D}{5}} = D \cdot \frac{5}{2D} = \frac{5}{2} \text{ hours}
\]
Thus, the total time to hike the full distance is 2.5 hours or 2 hours and 30 minutes.
To find the total time to hike the full distance \( D \), we first need to determine the rate at which Dan is hiking.
If \( \frac{4}{5}D \) takes 2 hours, we can find the rate \( R \) as follows:
\[
R = \frac{\text{Distance}}{\text{Time}} = \frac{\frac{4}{5}D}{2} = \frac{4D}{10} = \frac{2D}{5} \text{ (distance per hour)}
\]
Now that we have the rate \( R \), we can find the total time \( T \) it takes to hike the full distance \( D \):
\[
T = \frac{\text{Total Distance}}{\text{Rate}} = \frac{D}{\frac{2D}{5}} = D \cdot \frac{5}{2D} = \frac{5}{2} \text{ hours}
\]
Thus, the total time to hike the full distance is 2.5 hours or 2 hours and 30 minutes.