document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186764>Question 1186764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cyclist A travelled 60 km. Cyclist B travels 5 km/hr faster than A and travels the same distance in 2 hours less. Find the speed of each. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817724 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=817724\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Cyclist A travelled 60 km. Cyclist B travels 5 km/hr faster than A and travels the same distance in 2 hours less. Find the speed of each.<BR>\n" );
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document.write( "t = 60/r<BR>\n" );
document.write( "t-2 = 60/(r+5)<BR>\n" );
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document.write( "(60/r) - 2 = 60/(r+5)<BR>\n" );
document.write( "(60-2r)/r = 60/(r+5)<BR>\n" );
document.write( "60r = (60-2r)*(r+5) = -2r^2 + 50r + 300<BR>\n" );
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document.write( "2r^2 - 10r - 300 = 0<BR>\n" );
document.write( "r^2 - 5r = 60<BR>\n" );
document.write( "r^2 - 5r + 6.25 = 66.25<BR>\n" );
document.write( "(r-2.5)^2 = 66.25<BR>\n" );
document.write( "r = sqrt(66.25) + 2.5<BR>\n" );
document.write( "r =~ 10.6394 km/hr\r<BR>\n" );
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document.write( " </SPAN>\n" );
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