document.write( "Question 301147: An athlete bicycles an average of 12 mph faster than she runs. She runs 0.8 hours and bicycles for 1.2 hours for a total distance of 30.4 miles. Find her average rate bicycling \n" ); document.write( "

Algebra.Com's Answer #215969 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
An athlete bicycles an average of 12 mph faster than she runs. She runs 0.8 hours and bicycles for 1.2 hours for a total distance of 30.4 miles. Find her average rate bicycling\r
\n" ); document.write( "\n" ); document.write( "let her run at x mph\r
\n" ); document.write( "\n" ); document.write( "distance run = 0.8x\r
\n" ); document.write( "\n" ); document.write( "she rides at x+12 mph\r
\n" ); document.write( "\n" ); document.write( "distance she rides = 1.2 ( x+12)
\n" ); document.write( "=1.2x + 14.4\r
\n" ); document.write( "\n" ); document.write( "0.8x +1.2x+14.4 = 30.4\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2x +14.4 = 30.4\r
\n" ); document.write( "\n" ); document.write( "2x=30.4-14.4\r
\n" ); document.write( "\n" ); document.write( "2x= 16\r
\n" ); document.write( "\n" ); document.write( "x= 8\r
\n" ); document.write( "\n" ); document.write( "x=8 running speed\r
\n" ); document.write( "\n" ); document.write( "riding speed = 20 mph\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );