the jogger has already burned 225 calories today and is burning calories at the rate of 250 per hour. The pseudo jogger, who would rather be described as a "fast walker," has burned 275 calories but is only burning calories at a rate of 200 per hour. How many hours will it be before the two have burned the same number of calories?

Question

the jogger has already burned 225 calories today and is burning calories at the rate of 250 per hour. The pseudo jogger, who would rather be described as a "fast walker," has burned 275 calories but is only burning calories at a rate of 200 per hour. How many hours will it be before the two have burned the same number of calories?

Answer 1

Let's assume the number of hours it will take for the two to burn the same number of calories is "h."

The jogger has already burned 225 calories and is burning calories at a rate of 250 per hour, so the total calories burned by the jogger after "h" hours is 225 + 250h.

The pseudo jogger has burned 275 calories and is burning calories at a rate of 200 per hour, so the total calories burned by the pseudo jogger after "h" hours is 275 + 200h.

To find when the two will have burned the same number of calories, we will set the two expressions equal to each other and solve for "h":

225 + 250h = 275 + 200h

250h - 200h = 275 - 225

50h = 50

h = 1

Therefore, it will take 1 hour for the two to have burned the same number of calories.