You have to walk 10,873 miles from the crash site of your mars spacecraft to the interplanetary space station. You have energy bars and they contain 325 Cal per bar and you know that you will need 16 Cal for every 360 meters that you walk. If each bar weighs 45 g, how many pounds of bars will you carry with you to start out with?
To determine the number of calories needed to walk 10,873 miles or convert it to meters, we multiply 10,873 by 1609.34 (the number of meters in a mile):
10,873 miles * 1609.34 meters/mile = 17,533,027.82 meters
Next, we determine the number of calories needed to walk this distance by dividing the total meters by 360 meters and multiplying by 16 calories:
17,533,027.82 meters / 360 meters = 48,702.3
48,702.3 * 16 calories = 779,236.8 calories
To calculate the number of energy bars needed, we divide the total calories required by the number of calories in each bar:
779,236.8 calories / 325 calories/bar = 2,395.95 bars
Since it's not possible to carry fractional bars, we round up to the nearest whole number: 2,396 bars.
Now we can calculate the weight of the bars carried by multiplying the number of bars by the weight of each bar:
2,396 bars * 45 g/bar = 107,820 g
To convert grams to pounds, we divide by 453.59237 (the number of grams in a pound):
107,820 g / 453.59237 g/lb ≈ 237.62 lbs
Therefore, you would need to carry approximately 237.62 pounds of energy bars with you to begin the journey.