document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=583603>Question 583603</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a cyclist rode the first 36-mile portion of his workout at a constant speed.for the 30-mile cooldown portion of his workout, he reduced his speed by 2 miles per hour. Each portion of the workout took the same time. Find the cyclist's speed during the first portion and find his speed during the cooldown portion. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #372635 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=372635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a cyclist rode the first 36-mile portion of his workout at a constant speed.<BR>\n" );
document.write( "For the 30-mile cooldown portion of his workout, he reduced his speed by 2 miles per hour.<BR>\n" );
document.write( " Each portion of the workout took the same time.<BR>\n" );
document.write( "Find the cyclist's speed during the first portion and find his speed during the cooldown portion.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let s = his speed on the 1st 36 mi<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s-2) = his speed on the last 30 mi<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write time equation, time = dist/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "workout time = cooldown time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2Fs ALIGN=MIDDLE  ALT=\"36%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F%28s-2%29 ALIGN=MIDDLE  ALT=\"30%2F%28s-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "36(s-2) = 30s<BR>\n" );
document.write( "36s - 72 = 30s<BR>\n" );
document.write( "36s - 30s = 72<BR>\n" );
document.write( "6s = 72<BR>\n" );
document.write( "s = 12 mph his workout speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "10 mph his cooldown speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this by finding the actual times, they should be equal<BR>\n" );
document.write( "36/12 = 3 hrs<BR>\n" );
document.write( "30/10 = 3 hrs </SPAN>\n" );
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