Question

assuming that biking burns 500.0 nutrition calories per hour, calculate how long you need to bike to burn off a slice of carrot cake. the nutrition label indicated that the cake contained 24.0 g of fat, 56.0 g of carbohydrates, and 4.00 g of protein. report the value to three significant figures.

Answer 1

It will take 54.72 mins to burn off a slice of carrot cake, that contains 456 nutrition calories.

As 1g of fat contains 9 cal, 1g of protein contains 4 cal, and 1g of carbohydrates contain 4 cal.

Hence, calculating overall calories  in a slice of carrot cake containing 24g of fat, 56 g of carbs, and 4 g of protein.

= 24*9 + 56*4 + 4*4

= 216 + 224 +16

=456

as given, biking burns 500 cal per hour

Therefore,  

500 calories = 1hr

1cal = 1/500 hr

456 cal = (456*1)/500 hr

             = 0.912 hr

             = 0.912 * 60 = 54.72 minutes

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