document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100721>Question 100721</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bicyclist rode into the country for 5 hours.  In returning, her speed was 5 miles per hour faster and the trip took 4 hours.  What was her speed each way? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73349 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=73349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> These types of problems require you to comprehend the equality. In this case, the rider rides the same distance in each direction. The general distance equation is d = rate * time. We don't know the rate, so let's call it r. Let d stand for the distance traveled. We are told the time in each direction. But going one way the speed was r+5.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5r+=+d+=+4%2A%28r%2B5%29 ALIGN=MIDDLE  ALT=\"5r+=+d+=+4%2A%28r%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "That simplifies to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5r+=+4r+%2B+20 ALIGN=MIDDLE  ALT=\"5r+=+4r+%2B+20\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtracting 4r from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r+=+20 ALIGN=MIDDLE  ALT=\"r+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2B5+=+25 ALIGN=MIDDLE  ALT=\"r%2B5+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which are the speeds outbound and inbound.\r<BR>\n" );
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document.write( "ALWAYS check! <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A20+=+100+=+4%2A25 ALIGN=MIDDLE  ALT=\"5%2A20+=+100+=+4%2A25\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Check. </SPAN>\n" );
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