document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=472836>Question 472836</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two motorcycles made the same 315 mile drive. One motorcycle traveled 10 mph faster than the other and arrived 2 hours earlier. Find the speed of each motorcycle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324219 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=324219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two motorcycles made the same 315 mile drive. One motorcycle traveled 10 mph faster than the other and arrived 2 hours earlier. Find the speed of each motorcycle.<BR>\n" );
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document.write( "315/r = 315/(r+10) + 2<BR>\n" );
document.write( "315(r+10) = 315r + 2r(r+10)<BR>\n" );
document.write( "315r + 3150 = 315r + 2r^2 + 20r<BR>\n" );
document.write( "2r^2 + 20r - 3150 = 0<BR>\n" );
document.write( "r^2 + 10r - 1575 = 0<BR>\n" );
document.write( "(r + 45)*(r - 35) = 0<BR>\n" );
document.write( "r = 35 mph slower<BR>\n" );
document.write( "r = 45 mph faster<BR>\n" );
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