A 190-pound man and a 130-pound woman went to Burger King for lunch. The man had a BK Big Fish sandwich (750 Cal), medium french fries (400 Cal), and a large Coke (225 Cal). The woman had a basic hamburger (370 Cal), medium french fries (400 Cal), and a diet Coke (0 Cal). After lunch, they start shoveling snow and burn calories at a rate of 420 Cal/h for the woman and 610 Cal/h for the man. Determine how long each one of them needs to shovel snow to burn off the lunch calories. The metabolizable energy contents of different foods are as given in the problem statement. Shoveling snow burns calories at a rate of 420 Cal/h for the woman and 610 Cal/h for the man.

Question

Augustus Harding

Mathematics

10 May, 00:02

A 190-pound man and a 130-pound woman went to Burger King for lunch. The man had a BK Big Fish sandwich (750 Cal), medium french fries (400 Cal), and a large Coke (225 Cal). The woman had a basic hamburger (370 Cal), medium french fries (400 Cal), and a diet Coke (0 Cal). After lunch, they start shoveling snow and burn calories at a rate of 420 Cal/h for the woman and 610 Cal/h for the man. Determine how long each one of them needs to shovel snow to burn off the lunch calories. The metabolizable energy contents of different foods are as given in the problem statement. Shoveling snow burns calories at a rate of 420 Cal/h for the woman and 610 Cal/h for the man.

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Answers (1)

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Irvin Mueller · Answer 1

2.25 hours for the man and 1.83 hours for the woman.

Step-by-step explanation:

We first find the number of calories consumed by both the man and the woman.

The man's calories are:

750+400+225 = 1375

The woman's calories are:

370+400+0 = 770

The man burns 610 calories per hour. This means to find the number of hours, we divide the number of calories by the rate burned per hour:

1375/610 = 2.25 hours

The woman burns 770 calories per hour. This means to find the number of hours, we divide the number of calories by the rate burned per hour:

770/420 = 1.83 hours