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Chapter 7: Problem 92

One way to lose weight is to exercise! Walking briskly at 4.0 miles per hour for an hour consumes about 400 kcal of energy. How many hours would you have to walk at 4.0 miles per hour to lose one pound of body fat? One gram of body fat is equivalent to 7.7 kcal of energy. There are 454 g in 1 lb.

Short Answer

Expert verified
You would have to walk for approximately \(8.7 \, hours\) at 4.0 miles per hour to burn one pound of body fat.

Step by step solution

01

Determine the energy required to burn one pound of body fat

First, we need to find out how much energy in kcal is required to burn one pound of body fat. To do this, we will multiply the number of grams in 1 lb (454 g) by the energy equivalent of 1 gram of body fat (7.7 kcal). \[454 \, g \times 7.7 \, kcal/g = 3,495.8\, kcal\] So, 3,495.8 kcal of energy is required to burn one pound of body fat.
02

Calculate the number of hours required to burn one pound of body fat

Now, we will divide the total energy required to burn one pound of body fat, which we found in Step 1 (3,495.8 kcal), by the energy consumed per hour while walking briskly at 4.0 miles per hour (400 kcal/hour): \[\text{Hours Needed} = \dfrac{3,495.8\, kcal}{400 \, kcal/hour} = 8.7395 \, hours\]
03

Round to a reasonable value

It would be more practical to round our result to one decimal place. It also makes the answer more readable. \[8.7395 \, hours \approx 8.7 \, hours\] So, you would have to walk for approximately 8.7 hours at 4.0 miles per hour to burn one pound of body fat.

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