# A 155-pound person burns about 500 calories per hour playing racquetball. A) One pound is equal to 3500 calories. How long will it take to burn 1 pound playing racquetball? B) How long will it take to burn 5 pounds playing racquetball? Explain your reasoning. C) If the person were to rest 5 minutes for every 30 minutes of playing, how long would it take to burn 1 pound

A 155-pound person burns about 500 calories per hour playing racquetball. A) One pound is equal to 3500 calories. How long will it take to burn 1 pound playing racquetball? B) How long will it take to burn 5 pounds playing racquetball? Explain your reasoning. C) If the person were to rest 5 minutes for every 30 minutes of playing, how long would it take to burn 1 pound.

Given:

A 155-pound person burns about 500 calories per hour by playing racquetball.

So, it means in 1 hour racquet ball playing , he could burn out 500 calories.

Part A: One pound is equal to 3500 calories. How long will it take to burn 1 pound playing racquetball?

It is given 1 pound =3500 calories.

In 1  hour he could burn out 500 calories. So, divide the 3500 by the 500 to get number of hours.

So, 3500/500= 7 hours

Answer to part A is 7 hours.

Part B: How long will it take to burn 5 pounds playing racquetball? Explain your reasoning.

From Part A, we know 1 pound took 7 hours. So, to find numbers hours to burn out 5 pounds, multiply the 5 and 7.

It will take 5*7=35 hours to burn out 5 pounds.

Answer to part B is  35 hours.

Let’s explain the reason 1 pound take 7 hours, so 5 pounds take 5*7=35 hours. It is more than 1 day. That’s it took approximately 1 and half days to burn out 5 pounds(because 36 hours is 1 and half days).

Part C: If the person were to rest 5 minutes for every 30 minutes of playing, how long would it take to burn 1 pound.

Here, it is given that the person takes 5 minutes rest for each 30 minutes.We know 7 hours needed to burn out 1 pound. So, in 7 hours there are fourteen 30 minutes. So, rest needed is 14*5 minutes which is same as 70 minutes. Answer to this part is,it would take 8 hours 10 minutes.