document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=154107>Question 154107</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man rode a bicycle for 12 miles and then hiked on an additional 8 miles.  The total time for the trip was 5 hr, if his rate when he was riding a bicycle was 10 miles per hour faster than his rate walking.  What was each rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113418 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=113418\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5=12/(x+10)+8/x<BR>\n" );
document.write( "5=[12x+8(x+10)]/x(x+10)<BR>\n" );
document.write( "5=[12x+8x+80]/x^2+10x<BR>\n" );
document.write( "5=(20x+80)/x^2+10x<BR>\n" );
document.write( "5x^2+50x=20x+80<BR>\n" );
document.write( "5x^2+50x-20x-80=0<BR>\n" );
document.write( "5x^2+30x-80=0<BR>\n" );
document.write( "5(x^2+6x-16)=0<BR>\n" );
document.write( "5(x-2)(x+8)=0<BR>\n" );
document.write( "x-2=0<BR>\n" );
document.write( "x=2 mph for the hiking rate.<BR>\n" );
document.write( "10+2=12 mph for the biking rate.<BR>\n" );
document.write( "proof:<BR>\n" );
document.write( "5=12/12+8/2<BR>\n" );
document.write( "5=1+4<BR>\n" );
document.write( "5=5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );