Question

On a brisk walk, a person burns about 340 Cal/h. If the brisk walk were done at 3.5 mi/h, how far would a person have to walk to burn off 1 lb of body fat? (A pound of body fat stores an amount of chemical energy equivalent to 3,500 Cal.) answer:_____mi

Answer 1

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:

`\begin{gathered} t=(3500)/(340) \\ \\ t=10.29\text{ hours} \end{gathered}`

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:

`\begin{gathered} d=s*t \\ d=3.5*10.29 \\ d=36.03\text{ mi} \\ \end{gathered}`

Therefore, the person will have to will have to walk 36.03 miles

ANSWER:

36.03 mi