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Word Problem - Calories vs. Distance











































Leo is riding his bicycle at a constant rate.

He has determined that while riding for 3 minutes he burns 10 calories.

Leo is traveling 24 kilometers per hour.

If Leo burns 40 calories during his ride, how far has he traveled?

Comments for Word Problem - Calories vs. Distance

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Apr 06, 2013
Word Problem
by: Staff


Answer

Part I

t = time in minutes

c = rate calories are burned per minute = 10 calories every 3 minutes

total calories burned = 40

r = the speed Leo is traveling = 24 kilometers per hour

The equation which relates calories and time is:


Equation for Calories versus Time





substitute the known values into the equation

Substitute known values for





Multiply each side of the equation by 3. This will eliminate the fraction on the left side of the equation.

Multiply each side of the equation by 3.  This will eliminate the fraction on the left side of the equation.





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Apr 06, 2013
Word Problem
by: Staff


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Part II

Complete the multiplication. Use the distributive law to eliminate the parentheses on the left side of the equation.

Complete the multiplication.  Use the distributive law to eliminate the parentheses on the left side of the equation.






Divide each side of the equation by 10

Divide each side of the equation by 10




Time Riding Bike:

time riding bike = 12 minutes





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Apr 06, 2013
Word Problem
by: Staff


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Part III


Distance Traveled:

Distance traveled is rate of travel multiplied by time





d = distance traveled

r = speed = 24 kilometers per hour

t = time = 12 minutes = 1/5 of an hour


substitute the known values into the equation and complete the multiplication

Substitute the values for speed and time, and then complete the multiplication





Distance Traveled (final answer):

Distance Traveled:  fraction and decimal









Thanks for writing.

Staff
www.solving-math-problems.com



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