Answer:
[tex]8\frac{1}{6}[/tex] hours or 8 hours and 10 minutes.
Step-by-step explanation:
We have been given that a 155 pound person burns about 500 calories per hour playing racquetball. One pound is equal to 3500 calories.
Since the person burns 500 calories per hour, so time taken to burn 3500 calories would be:
[tex]\frac{3500\text{ cal}}{\frac{\text{500 cal}}{\text{Hour}}}[/tex]
[tex]\frac{3500\text{ cal}}{500}\times\frac{\text{Hour}}{\text{Cal}}=7\text{ Hour}[/tex]
Now, we will convert 7 hours to minutes.
1 hour equals 60 minutes.
7 hours = 7*60 minutes =420 minutes.
Since the person take a rest of 5 minutes for every 30 minutes of playing, so we will divide 420 by 30 to find the number of times the person rested to burn 3500 calories.
[tex]\frac{420}{30}=14[/tex]
Now, we will multiply 14 by 5 minutes to find minutes the person rested.
[tex]14\times 5\text{ minutes}=70\text{ minutes}[/tex]
Total number of minutes to burn 3500 calories: [tex]420\text{ minutes}+70\text{ minutes}=490\text{ minutes}[/tex]
[tex]\frac{490}{60}=\frac{49}{6}=8\frac{1}{6}[/tex]
Therefore, it will take 8 hours and 10 minutes to burn 1 pound.
