document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178780>Question 178780</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bicycle rider travels 18 miles in the same amount of time that it takes a jogger to travel 10 miles. If the bicyclist goes 9.6 miles per hour faster than the jogger, how fast does each person travel? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #133767 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=133767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bicycle rider travels 18 miles in the same amount of time that it takes a jogger to travel 10 miles. If the bicyclist goes 9.6 miles per hour faster than the jogger, how fast does each person travel?<BR>\n" );
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document.write( "distance = rate * time<BR>\n" );
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document.write( "let r be the rate of the jogger...therefore rate of the bike rider is r+9.6<BR>\n" );
document.write( "times are equal<BR>\n" );
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document.write( "bike:18=(r+9.6)t...eq 1<BR>\n" );
document.write( "jogger:10=rt.......eq 2<BR>\n" );
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document.write( "rewrite eq 2 to t=10/r and plug that into eq 1<BR>\n" );
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document.write( "18=(r+9.6)(10/r)<BR>\n" );
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document.write( "18r=10(r+9.6)......multiplied both sides by r<BR>\n" );
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document.write( "18r=10r+96<BR>\n" );
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document.write( "8r=96<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r=12%29 ALIGN=MIDDLE  ALT=\"highlight%28r=12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >mph-speed of jogger<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r%2B9.6=12%2B9.6=21.6%29 ALIGN=MIDDLE  ALT=\"highlight%28r%2B9.6=12%2B9.6=21.6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >mph-speed of bike rider </SPAN>\n" );
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