document.write( "Question 276924: Karin biked at 13 mph for a time but got a flat tire. She then walked at 5 mph. She traveled a total of 93 miles. Had she biked the whole time, she would have gone 117 miles. How many hours did she walk?
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Algebra.Com's Answer #201904 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Karin biked at 13 mph for a time but got a flat tire. \n" ); document.write( " She then walked at 5 mph. She traveled a total of 93 miles. \n" ); document.write( " Had she biked the whole time, she would have gone 117 miles. \n" ); document.write( " How many hours did she walk? \n" ); document.write( ": \n" ); document.write( "Let b = biking time \n" ); document.write( "Let w = walking time \n" ); document.write( ": \n" ); document.write( "Write a distance equation for each scenario \n" ); document.write( "13b + 5w = 93 \n" ); document.write( "13(b+w) = 117 \n" ); document.write( ": \n" ); document.write( "13b + 13w = 117 \n" ); document.write( "13b = 5w = 93 \n" ); document.write( "--------------------subtraction eliminates b, find w \n" ); document.write( "0b + 8w = 24 \n" ); document.write( "w = \n" ); document.write( "w = 3 hrs walking time \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "To check solution find biking time \n" ); document.write( "13b + 5(3) = 93 \n" ); document.write( "13b + 15 = 93 \n" ); document.write( "13b = 93 - 15 \n" ); document.write( "13b = 78 \n" ); document.write( "b = \n" ); document.write( "b = 6 hrs on the bike \n" ); document.write( ": \n" ); document.write( "using the all bike equation \n" ); document.write( "13(6 + 3) = 117 \n" ); document.write( " \n" ); document.write( " |