document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=48144>Question 48144</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the problem.  Round your answer to the nearest tenth, if necessary.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #547222 by </B><A HREF=/tutors/aboutme.mpl?userid=JoelSchwartz><B>JoelSchwartz(130)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JoelSchwartz><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=547222\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> db = distance of the bicycle in miles<BR>\n" );
document.write( "dw = distance of the hiker in miles<BR>\n" );
document.write( "db=12<BR>\n" );
document.write( "dw=8<BR>\n" );
document.write( "tb=time traveled while biking in hours<BR>\n" );
document.write( "tw=time traveled while hiking or walking in hours.<BR>\n" );
document.write( "tw+tb=5<BR>\n" );
document.write( "The time traveled walking plus the time traveling biking is equal to five hours.<BR>\n" );
document.write( "rb= rate of the bicycle in miles per hour.<BR>\n" );
document.write( "rw= rate of the walker in miles per hour.<BR>\n" );
document.write( "rb=10+rw<BR>\n" );
document.write( "The rate of the bicycle is equal to ten miles per hour plus the rate of the walker.<BR>\n" );
document.write( "dw=tw*rw<BR>\n" );
document.write( "8=tw*rw<BR>\n" );
document.write( "db=tb*rb<BR>\n" );
document.write( "12=tb(10+rw)<BR>\n" );
document.write( "12=10tb+tbrw<BR>\n" );
document.write( "tb=5-tw<BR>\n" );
document.write( "12=10(5-tw)+rw(5-tw)<BR>\n" );
document.write( "12=50-10tw+5rw-rwtw<BR>\n" );
document.write( "12=50-10tw+5rw-8<BR>\n" );
document.write( "12=42-10tw+5rw<BR>\n" );
document.write( "-30=-10tw+5rw<BR>\n" );
document.write( "3=tw-1/2*rw<BR>\n" );
document.write( "3+1/2*rw=tw<BR>\n" );
document.write( "tw*rw=8<BR>\n" );
document.write( "rw(3+1/2*rw)=8<BR>\n" );
document.write( "3rw+1/2*rw^2=8<BR>\n" );
document.write( "1/2*rw^2+3rw-8=0<BR>\n" );
document.write( "ac=-4<BR>\n" );
document.write( "b=3<BR>\n" );
document.write( "(1/2*rw+4)(rw-2)=0<BR>\n" );
document.write( "((1/2*rw+4)(rw-2))/(1/2*rw+4)=0/(1/2*rw+4)<BR>\n" );
document.write( "rw-2=0<BR>\n" );
document.write( "rw=2<BR>\n" );
document.write( "((1/2*rw+4)(rw-2))/(rw-2)=0/(rw-2)<BR>\n" );
document.write( "1/2*rw+4=0<BR>\n" );
document.write( "1/2*rw=-4<BR>\n" );
document.write( "1/2*-8=-4<BR>\n" );
document.write( "rw=-8<BR>\n" );
document.write( "We use 2 because the rate has to be positive.<BR>\n" );
document.write( "rb=10+rw<BR>\n" );
document.write( "rb=10+2<BR>\n" );
document.write( "rb=12<BR>\n" );
document.write( "rb*tb=12<BR>\n" );
document.write( "12*1=12<BR>\n" );
document.write( "rw*tw=8<BR>\n" );
document.write( "2tw=8<BR>\n" );
document.write( "tw=4<BR>\n" );
document.write( "tw+tb=5<BR>\n" );
document.write( "4+1=5\r<BR>\n" );
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