Javier and Stella are planning their exercise routines. Javier and Stella have a body mass of 70 kg and 60 kg respectively. The speed for walking and jogging of the two individuals are represented in the chart.

- (a)
In their first week of exercise, they each plan to go for four brisk walks.
They will walk the same route each time.
The four walks together meet the minimum target for the time for optimal health benefits in one week.

- (i)
Find the distance of one of these walks.
Answer ... km
- (ii)
Find out how many more calories Javier burns in these four walks than Stella.
Answer ... calories
- (i)
- (b)
After one month, they change their routines.
Javier wants to gain additional health benefits.
He decides to do a 4 km walk 3 times per week and do a 6 km jog 2 times per week.
He will also attend a 45-minute yoga class 2 times per week.
Stella wants to maintain optimal health benefits.
She decides to do an 8 km jog 2 times per week.
She will also attend a 30-minute weight training session 2 times per week.
Javier says:
We will both meet our targets for exercise.
However, I will burn about 50% more calories than Stella during our exercise per week.
Is Javier correct?
Justify your decision with clear calculations.
Answer space for 10 (b)
Javier is ...
...
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Worked solution
10(a)(ii)
1. Find the total calories burned by each person for the four brisk walks and compare them.
The four walks together take minutes.
Since , multiply the 30-minute calorie values by .
Using the Walking km/h row:
Javier, kg: calories
Stella, kg: calories
Difference:
calories
10(b)
1. Check whether Javier meets the target for additional health benefits.
For Javier's walks:
For Javier's jogs:
Since min vigorous min moderate,
Total moderate-equivalent time:
So Javier meets the target for additional health benefits.
2. Check whether Stella meets the target for optimal health benefits.
For Stella's jogs:
Stella needs at least min of vigorous-intensity aerobic activity.
Since , Stella meets the target for optimal health benefits.
3. Calculate Javier's total calories burned per week.
Javier has mass kg.
Walking calories: use Walking km/h, kg: calories per min.
Jogging calories: use Jogging km/h, kg: calories per min.
Yoga calories:
Total calories burned by Javier:
4. Calculate Stella's total calories burned per week.
Stella has mass kg.
Jogging calories: use Jogging km/h, kg: calories per min.
Weight training calories:
Total calories burned by Stella:
5. Compare Javier's calories with Stella's and decide whether Javier's statement is correct.
Difference in calories:
Percentage more than Stella:
This is about more.
Both also do muscle-strengthening activities on days per week, so they meet that part of the advice.
Javier is correct. Javier reaches minutes of moderate-equivalent aerobic activity, while Stella reaches more than minutes of vigorous activity. Javier burns about , which is approximately , more calories than Stella per week.
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