document.write( "Question 1163447: Debbie rides her bicycle to her friends' house. Debbie rides her bike 4mph when going uphill and 12mph when going downhill. If her total time riding was 1 hour, how far is it to her friends' house? \n" ); document.write( "
Algebra.Com's Answer #787548 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Here is a very different way to solve this kind of problem. \n" ); document.write( "The distances both directions are the same; the ratio of the two speeds is 1:3. \n" ); document.write( "That means the ratio of times at the two speeds is 3:1. \n" ); document.write( "Since the total time is 1 hour, that means she spent 3/4 of an hour at the lower speed and 1/4 of an hour at the higher speed. \n" ); document.write( "3/4 of an hour at 4mph means she traveled (3/4)*4 = 3 miles; 1/4 of an hour at 12mph means she traveled (1/4)*12 = 3 miles. \n" ); document.write( "ANSWER: 3 miles to her friend's house. \n" ); document.write( " \n" ); document.write( " |