document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=584383>Question 584383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An athletes average speed on her bike is 14mph faster than her average speed running. She can bike 31.5 miles in the same time that it takes her to run 10.5 miles. Find her average speed running and her average speed biking.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #372788 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=372788\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An athletes average speed on her bike is 14mph faster than her average speed running. She can bike 31.5 miles in the same time that it takes her to run 10.5 miles. Find her average speed running and her average speed biking.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "let x=running speed<BR>\n" );
document.write( "x+14=biking speed<BR>\n" );
document.write( "travel time=speed/distance<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(x+14)/31.5=x/10.5<BR>\n" );
document.write( "10.5x+10.5*14=31.5x<BR>\n" );
document.write( "10.5x+147=31.5x<BR>\n" );
document.write( "21x=147<BR>\n" );
document.write( "x=7<BR>\n" );
document.write( "x+14=21<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "running speed=7mph<BR>\n" );
document.write( "biking speed=21mph<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );