A runner eats granola bars for energy on her 100.0 mile run. Each bar contains 250.1 calories. She burns 96.15 calories per km that she runs. How many granola bars does she need to equal the number of calories that she burns?
Answered below.
To figure out how many granola bars the runner needs to equal the number of calories she burns, we first need to determine the total number of calories she burns during the run.
First, let's convert the distance of 100.0 miles to kilometers. Since 1 mile equals approximately 1.60934 kilometers, we can calculate:
Distance in kilometers = 100.0 miles * 1.60934 kilometers/mile
Now we have the distance in kilometers, which is approximately 160.934 kilometers.
Next, we multiply the distance in kilometers by the number of calories burned per kilometer to find the total number of calories burned during the run:
Total calories burned = Distance in kilometers * Calories burned per kilometer
Total calories burned = 160.934 km * 96.15 calories/km
Calculating this gives us the total calories burned during the run, which is approximately 15,492.41 calories.
Now that we know the total number of calories burned, we can determine the number of granola bars needed to equal that amount. Since each granola bar contains 250.1 calories, we divide the total calories burned by the calories in each granola bar:
Number of granola bars needed = Total calories burned / Calories per granola bar
Number of granola bars needed = 15,492.41 calories / 250.1 calories per granola bar
Calculating this gives us the number of granola bars needed, which is approximately 61.94 bars.
Therefore, the runner would need approximately 61.94 granola bars to equal the number of calories she burns during her 100.0 mile run.