document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1145152>Question 1145152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In reaching her destination, a backpacker walks with an average velocity of 1.10 m/s, due west. This average velocity results, because she hikes for 5.61 km with an average velocity of 2.77 m/s due west, turns around, and hikes with an average velocity of 0.376 m/s due east. How far east did she walk (in kilometers)?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #766354 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=766354\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B1%5D+ ALIGN=MIDDLE  ALT=\"+t%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time in seconds for westbound hike<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B2%5D+ ALIGN=MIDDLE  ALT=\"+t%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time in seconds for eastbound hike<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B2%5D+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = distance walked eastward<BR>\n" );
document.write( "-------------------------------------------------------<BR>\n" );
document.write( "The average velocity is [ displacement in meters ] / [ total time in seconds moving ]<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.1+=+%28+5610+-+d%5B2%5D+%29+%2F+%28+t%5B1%5D+%2B+t%5B2%5D+%29+ ALIGN=MIDDLE  ALT=\"+1.1+=+%28+5610+-+d%5B2%5D+%29+%2F+%28+t%5B1%5D+%2B+t%5B2%5D+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "For the 1st part of trip:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5610+=+2.77%2At%5B1%5D+ ALIGN=MIDDLE  ALT=\"+5610+=+2.77%2At%5B1%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "For the second part of the trip:<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B2%5D+=+.376%2At%5B2%5D+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+.376%2At%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "There are 3 equations & 3 unknowns, so it's solvable.<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B1%5D+=+2025.27+ ALIGN=MIDDLE  ALT=\"+t%5B1%5D+=+2025.27+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.1+=+%28+5610+-+d%5B2%5D+%29+%2F+%28+t%5B1%5D+%2B+t%5B2%5D+%29+ ALIGN=MIDDLE  ALT=\"+1.1+=+%28+5610+-+d%5B2%5D+%29+%2F+%28+t%5B1%5D+%2B+t%5B2%5D+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.1+=+%28+5610+-+d%5B2%5D+%29+%2F+%28+2025.27+%2B+t%5B2%5D+%29+ ALIGN=MIDDLE  ALT=\"+1.1+=+%28+5610+-+d%5B2%5D+%29+%2F+%28+2025.27+%2B+t%5B2%5D+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.1+=+%28+5610+-+.376%2At%5B2%5D+%29+%2F+%28+2025.27+%2B+t%5B2%5D+%29+ ALIGN=MIDDLE  ALT=\"+1.1+=+%28+5610+-+.376%2At%5B2%5D+%29+%2F+%28+2025.27+%2B+t%5B2%5D+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.1%2A%28+2026.27+%2B+t%5B2%5D+%29+=+5610+-+.376%2At%5B2%5D+ ALIGN=MIDDLE  ALT=\"+1.1%2A%28+2026.27+%2B+t%5B2%5D+%29+=+5610+-+.376%2At%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2227.8+%2B+1.1t%5B2%5D+=+5610+-+.376%2At%5B2%5D+ ALIGN=MIDDLE  ALT=\"+2227.8+%2B+1.1t%5B2%5D+=+5610+-+.376%2At%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.476t%5B2%5D+=+3382.2+ ALIGN=MIDDLE  ALT=\"+1.476t%5B2%5D+=+3382.2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B2%5D+=+2291.46+ ALIGN=MIDDLE  ALT=\"+t%5B2%5D+=+2291.46+\"   DISABLED_style= \"max-width:90%; height:auto;\" > sec<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B2%5D+=+.376%2At%5B2%5D+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+.376%2At%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B2%5D+=+.376%2A2291.46+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+.376%2A2291.46+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B2%5D+=+323.96+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+323.96+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In km:<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B2%5D+=+323.96%2F1000+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+323.96%2F1000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B2%5D+=+.324+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+.324+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.1+=+%28+5610+-+d%5B2%5D+%29+%2F+%28+t%5B1%5D+%2B+t%5B2%5D+%29+ ALIGN=MIDDLE  ALT=\"+1.1+=+%28+5610+-+d%5B2%5D+%29+%2F+%28+t%5B1%5D+%2B+t%5B2%5D+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.1+=+%28+5610+-+323.96+%29+%2F+%28+2025.27+%2B+2291.46+%29+ ALIGN=MIDDLE  ALT=\"+1.1+=+%28+5610+-+323.96+%29+%2F+%28+2025.27+%2B+2291.46+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.1+=+5286.04+%2F+4316.73+ ALIGN=MIDDLE  ALT=\"+1.1+=+5286.04+%2F+4316.73+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1.1+=+1.224+ ALIGN=MIDDLE  ALT=\"+1.1+=+1.224+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Answer is off. I think method is OK. Check the math\r<BR>\n" );
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