Given:
• Amount of fat stored = 3500 Cal
,• Rate = 340 Cal/h
,• Speed of brisk walk = 3.5 mi/h
Let's find the distance a person will have to walk to burn off 1 lb of body fat.
Since the person burns fat at a rate of 340 Cal/h, the number of hours it will take to burn 1 lb will be:
[tex]\begin{gathered} t=\frac{3500}{340} \\ \\ t=10.29\text{ hours} \end{gathered}[/tex]It will take the person 10.29 hours to burn 1 lb.
Now, since the speed of the walk is 3.5 mi/h and the time it will take to burn 1 lb is 10.29 hours, the distance the person will cover to burn 1 lb will be:
[tex]\begin{gathered} d=s*t \\ d=3.5*10.29 \\ d=36.03\text{ mi} \\ \end{gathered}[/tex]Therefore, the person will have to will have to walk 36.03 miles
ANSWER:
36.03 mi