After spending the holidays with your family you have put on a bit of weight. Yo
ID: 1792054 • Letter: A
Question
After spending the holidays with your family you have put on a bit of weight. You decide to go running and do a 5 km long run on flat terrain. You are wondering whether you should run the distance at a fast or a moderate pace to burn more calories. You go online and read that a 59 kg person burns 590 kcal running at 9.7 km/h for an hour and 797 kcal running at 12.9 km/hfor an hour. So should you run the 5 km at a fast (12.9 km/h) or a moderate pace (9.7 km/h) to burn more calories?
a) Calculate the calories you burn when running at a fast pace (in kcal).
b) Calculate the calories you burn when running at a moderate pace (in kcal).
Explanation / Answer
What we know:
d1 = 5000 m
m = 59 kg
t = 3600 s
vm = 9.7 km/h = 2.69 m/s
kcalm = 590 kcal
vm = 12.9 km/h = 3.58 m/s
kcalm = 797 kcal
b) At a moderate pace:
t = d/v
= 5000m/2.69m/s = 1858.73 s
calories : ((590kcal)/1h)(1h/3600s)*1858.73s = 304.62 kcal
a)At a fast pace:
t = d/v
= 5000m/3.58m/s = 1396.64 s
calories : ((797kcal)/1h)(1h/3600s)*1396.64s = 309.20kcal