To lose one pound of fat, a 200-pound person must burn 3,500 calories. If that person burns 180 calories by walking for 30 minutes, how many hours and minutes does the person have to walk to lose two pounds? Round your answer to the nearest minute.

Respuesta :

Answer: 19.44 hours or 19 hours and 26 minutes.


Step-by-step explanation:

1. To lose 1 pound, a 200-person must burn 3,500 calories. Therefore, to lose 2 pounds that person must burn 7,000 calories.

2. If the person burns 180 calories by walking for 30 minutes or [tex]\frac{1}{2}[/tex] hour, to calculate the time in hours the person has to walk to lose 2 pounds, you can multiply 7,000 calories by  [tex]\frac{1}{2}[/tex] hour and divide by 180 calories:

[tex]time=\frac{(7,000Cal)(\frac{1}{2}h)}{180Cal}\\time=19.44h[/tex]

3. You have:

[tex]minutes=(0.44)(60)\\minutes=26.4min\\minutes=26min[/tex]

4. Then, you can express it as following:

19 hours and 26 minutes