An "energy bar" contains 22g of carbohydrates. If the energy bar was his only fuel, how far could a 68 kg person walk at 5 km/hr ?
According to
http://walking.about.com/library/cal/uccalc1.htm ,
about 80 Calories are burned per mile for a person of that weight, walking at that speed. That amounts to 50 Calories per km. 22g of carbohydrates contain 88 Calories. That means a person can walk 88/50 = 1.8 km while burning the Calpries in that energy bar.
Of course, a person can walk farther than that by using energy stored in the body as fat or residual blood sugar. That is one way to diet.
To determine how far a person can walk using an energy bar as fuel, we need to consider the amount of energy provided by the carbohydrates in the energy bar.
1 gram of carbohydrates provides approximately 4 calories of energy.
To find the total energy provided by the carbohydrates in the energy bar, we multiply the amount of carbohydrates (22g) by the calories per gram (4 calories/g).
Total energy provided = 22g * 4 calories/g = 88 calories
Now, we need to calculate the total energy expenditure for the person while walking.
The energy expenditure (in calories) for walking can be estimated using the following formula:
Energy expenditure (in calories) = weight (in kg) * distance (in km) * metabolic equivalent (MET) value
The MET value for walking at 5 km/hr is approximately 5.
Let's calculate the energy expenditure:
Energy expenditure = 68 kg * distance (in km) * 5 MET
We want to determine the distance (in km) that the person can walk, so we need to isolate the distance variable:
distance (in km) = energy expenditure / (68 kg * 5 MET)
Since we know that the total energy provided by the energy bar is 88 calories, we can substitute this value into the equation:
distance (in km) = 88 calories / (68 kg * 5 MET)
Now, we can plug in the appropriate values:
distance (in km) = 88 calories / (68 kg * 5)
Calculating the distance:
distance (in km) = 88 / (340)
distance (in km) = 0.26 km
Therefore, a 68 kg person can walk approximately 0.26 km at a speed of 5 km/hr, using the energy provided by the 22g of carbohydrates in the energy bar.
To determine how far a person can walk based on the energy provided by an energy bar, we need to understand the relationship between energy expenditure, carbohydrates, and walking distance.
First, we need to convert the weight of the person from kilograms to calories. The conversion factor is approximately 1 kilocalorie (kcal) per kilogram of body weight per hour. Therefore, a 68 kg person would require about 68 kcal per hour of walking.
Next, we need to determine the energy content of carbohydrates. Each gram of carbohydrates provides approximately 4 kcal of energy. So, if the energy bar contains 22g of carbohydrates, it would provide 22g x 4 kcal/g = 88 kcal of energy.
Now, we can calculate how long the energy from the energy bar would last. Divide the energy provided by the energy expenditure per hour:
88 kcal / 68 kcal/h = 1.29 hours
Since the person is walking at a speed of 5 km/h, we can multiply the walking speed by the time to get the distance covered:
5 km/h x 1.29 h = 6.45 km
Therefore, based on the energy provided by the energy bar, a 68 kg person could walk approximately 6.45 kilometers at a speed of 5 km/h.