# 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

 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: substitute the known values into the equation Multiply each side of the equation by 3. This will eliminate the fraction on the left side of the equation. ---------------------------------------------------------------

 Apr 06, 2013 Word Problem by: Staff --------------------------------------------------------------- Part II 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 Time Riding Bike: ---------------------------------------------------------------

 Apr 06, 2013 Word Problem by: Staff --------------------------------------------------------------- Part III Distance Traveled: 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 Distance Traveled (final answer): Thanks for writing. Staff www.solving-math-problems.com

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