document.write( "Question 1010637: A man rode a bicycle for 12 miles then hiked an additional 8 miles. The total time for the trip was 5 hours. If his rate when he was riding the bicycle was 10 mph faster than his rate walking, what was each rate? \n" ); document.write( "
Algebra.Com's Answer #626097 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
The same question happens as different examples. This table shows this as a generalization.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The description could be, man rode a bicycle for b miles then hiked an additional h miles.
\n" ); document.write( "The total time for the trip was T hours. If his rate when he was riding the bicycle was k mph
\n" ); document.write( "faster than his rate walking, what was each rate?

\n" ); document.write( "
\r\n" );
document.write( "             rate          time         distance\r\n" );
document.write( "\r\n" );
document.write( "BIKE         r+k           x              b\r\n" );
document.write( "\r\n" );
document.write( "HIKE          r            y              h\r\n" );
document.write( "\r\n" );
document.write( "Total                      T\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The given variables are \"system%28h%2Ck%2Cb%2CT%29\".
\n" ); document.write( "The unknown variables are \"system%28x%2Cy%2Cr%29\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Using the basic travel rates rule, x and y can be put into expressions.
\n" ); document.write( "\"system%28x=b%2F%28r%2Bk%29%2Cy=h%2Fr%29\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The given total time T fits with an equation,
\n" ); document.write( "\"x%2By=T\"
\n" ); document.write( "\"highlight%28b%2F%28r%2Bk%29%2Bh%2Fr=T%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solve the red-outlined equation for r.
\n" ); document.write( "
\n" ); document.write( "
\n" );