Help me urgently?

Question

Many people are interested in losing weight through exercise. An important fact to consider is that a person needs to burn off 3,500 calories more than he or she takes in to lose 1 pound, according to the American Dietetic Association. The following table shows the number of calories burned per hour (cal/h) for a variety of activities, where the given value are based on a 150 pound person.

Joggin - 5 mi/h then 740 cal/ h

then my question is
How many hours of jogging at 5 mi/h would be needed for a 200-pound person to lose 5 pounds? (Again, assume calorie consumption is just enough to maintain weight, with no activity.)

Answer 1

Is there a direct linear relationship between a weight and the calories burned? I guess we assume so.

A 200 lb. person would supposedly burn 33% more than a 150 lb. person. So after 1 hour, the person would have burned:

740 * 4/3 = 986.7 cal.

Altogether they need to burn 5 x 3,500 calories for 5 lbs. That makes it 17,500 calories needed to burn.

Dividing 17,500 / 986.7 ≈ 17.73 hours = 17 hours 44 minutes.

Of course this is all predicated on the calories burned being directly proportional to weight. This isn't stated anywhere in the problem but has to be assumed.

Answer 2

The energy required to jog is proportional to the mass being moved, so a 200-pound person would burn 200/150 x 740 cal/hour = 987 cal/hr.

To lose 5 pounds (3,500 x 5 = 17,500 cal) by jogging, he would have to run 17,500/987 = 17.73 hours (17 hours and 44 minutes).

Answer 3

You need to set up an equation to do this.

If you know what the
( calories / pound )
is and you know what they
( calories / hour of exercise )
is, then dimenional analysis will give you this equation:

hours of exercise ( calories / hour ) ( pounds / calorie ) = pounds

AND

hours of exercise = pounds / ( ( calories / hour ) ( pounds / calorie ) )

You do not give any information to determine any difference in the calorie burn rate of the 150 and 200 pound person do you?

Answer 4

I am confuse!