document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=329732>Question 329732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Keiko bicycles 5 km/h faster than Praedup.  In the same time it takes praedup to bicycle 54 km, Keiko can bicycle 69 km.  How fast does each bicyclist travel?\r<BR>\n" );
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document.write( "Praedup travels ______ km/h.\r<BR>\n" );
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document.write( "Keiko travels  ________  km/h.<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 #236384 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=236384\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Keiko bicycles 5 km/h faster than Praedup.  In the same time it takes praedup to bicycle 54 km, Keiko can bicycle 69 km.  How fast does each bicyclist travel?\r<BR>\n" );
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document.write( "Praedup travels ______ km/h.\r<BR>\n" );
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document.write( "Keiko travels  ________  km/h.\r<BR>\n" );
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document.write( "..<BR>\n" );
document.write( "let Praedup rate be x<BR>\n" );
document.write( "Keiko's rate = x+5 <BR>\n" );
document.write( "..<BR>\n" );
document.write( "time taken by Praedup = 54/x<BR>\n" );
document.write( "time taken by Keiko = 69/(x+5)<BR>\n" );
document.write( "54/x = 69/(x+5)<BR>\n" );
document.write( "69x=54(x+5)<BR>\n" );
document.write( "69x=54x+270<BR>\n" );
document.write( "69x-54x=270<BR>\n" );
document.write( "15x=270<BR>\n" );
document.write( "x=270/15<BR>\n" );
document.write( "x=18km/h ---- Praedup's rate<BR>\n" );
document.write( "Keiko's rate = x+5 , = 18+5=23 km/h </SPAN>\n" );
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