document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=998637>Question 998637</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Manuel can drive 3 times as fast as Pablo can ride his bicycle. If it takes Pablo 2 hours longer than Manuel to travel 90 miles, how fast can Pablo ride his bicycle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #616408 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=616408\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> pablo speed=x<BR>\n" );
document.write( "manuel speed=3x<BR>\n" );
document.write( "3x*time=90; time for M. is 90/3x; units are miles/miles/hour=hours<BR>\n" );
document.write( "x*(time+2)=90<BR>\n" );
document.write( "time=90/3x<BR>\n" );
document.write( "time+2=90/x<BR>\n" );
document.write( "time=(90/x)-2<BR>\n" );
document.write( "30./x=(90/x)-2=(90-2x)/x<BR>\n" );
document.write( "The denominators cancel<BR>\n" );
document.write( "30=90-2x<BR>\n" );
document.write( "-60=-2x<BR>\n" );
document.write( "x=30 mph for Pablo; ANSWER<BR>\n" );
document.write( "3x=90 mph Manuel<BR>\n" );
document.write( "It takes Manuel 1 hour to go 90 miles<BR>\n" );
document.write( "It takes Pablo 3 hours to go 90 miles, 2 hours longer.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );