document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78559>Question 78559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bicyclist rode into the country for 5h. In returning, her speed was 5mi/h faster and the trip took 4h. 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 #56320 by </B><A HREF=/tutors/aboutme.mpl?userid=patrickr><B>patrickr(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=patrickr><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=56320\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use D = rt (Distance = rate * time) to solve.\r<BR>\n" );
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document.write( "The distance is the same each way, a fact we will use later.<BR>\n" );
document.write( "The time riding into the country and back are given, 5 and 4.\r<BR>\n" );
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document.write( "Her speed(rate)riding into the country is unknown so we assign it a variable: s<BR>\n" );
document.write( "Her time riding into the country is 5 hours.  \r<BR>\n" );
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document.write( "D1=rt  , plug s (her speed) in for r and 5 in for time.\r<BR>\n" );
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document.write( "D1=s*5\r<BR>\n" );
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document.write( "Her speed(rate) returning is 5mi/h faster that her speed riding in:  Thus s+5<BR>\n" );
document.write( "Her time riding into the country is 4 hours.  \r<BR>\n" );
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document.write( "D2=rt  , plug s+5 (her speed) in for r and 4 in for time.\r<BR>\n" );
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document.write( "D2=(s+5)*4\r<BR>\n" );
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document.write( "We know the two distances are the same, meaning D1=D2.\r<BR>\n" );
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document.write( "Substitute for D1 and D2          5s = 4(s+5)      <BR>\n" );
document.write( "Distribute the 4                  5s = 4s+ 20          <BR>\n" );
document.write( "Subtract 4s from both sides        s=20\r<BR>\n" );
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document.write( "Thus, her speed into the country was 20mi/h.<BR>\n" );
document.write( "Her speed returning (5mi/h faster) was 25 mi/h.            </SPAN>\n" );
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