From the table, Joe takes 2 hours to hike 3 miles. To find how long does it take Joe to hike 1 mile, we can use the next proportion,
[tex]\frac{2\text{ hours}}{x\text{ hours}}=\frac{3\text{ miles}}{1\text{ mile}}[/tex]
Solving for x,
[tex]\begin{gathered} 2\cdot1=3\cdot x \\ \frac{2}{3}=x \end{gathered}[/tex]
Joe takes 2/3 hours to hike 1 mile.
From the graph, Kelly takes 12 hours to hike 10 miles. To find how long does it take Kelly to hike 1 mile, we can use the next proportion,
[tex]\frac{12\text{ hours}}{x\text{ hours}}=\frac{10\text{ miles}}{1\text{ mile}}[/tex]
Solving for x,
[tex]\begin{gathered} 12\cdot1=10\cdot x \\ \frac{12}{10}=x \\ \frac{6}{5}=x \end{gathered}[/tex]
Kelly takes 6/5 hours to hike 1 mile.
Joe is hiking faster, because he hikes 1 mile in less time than Kelly
