Final answer:
To expend 300 kcal walking at 3.3 mph, Jim would need to walk for approximately 52 minutes. The leg ergometer work rate for Jim exercising at an intensity of 6 kcal/min is approximately 71 watts.
Step-by-step explanation:
To calculate how long Jim must walk to expend 300 kcal, we can first determine the amount of time it takes for him to burn 1 kcal. Since Jim weighs 75 kg and exercises at an intensity of 6 kcal/min, it would take him 1/6 minute to burn 1 kcal. Therefore, to burn 300 kcal, Jim would need to walk for 1/6 * 300 = 50 minutes, which is closest to option A: 52 minutes.
To find the leg ergometer work rate, we can use the formula Power = work/time. Since Jim exercises at an intensity of 6 kcal/min, which is equivalent to 6 * 4.18 J/min, and work = Power * time, we can solve for work using the values given. If we substitute work = 6 * 4.18 J/min and time = 1 min, we can solve for Power, which is equal to 6 kcal/min. Therefore, the leg ergometer work rate would be equal to 6 * 4.18 J/min = 24.18 J/min, which is closest to option D: 71 watts.