document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=937217>Question 937217</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jane is 2 miles offshore in a boat and wishes to reach a coastal village 6 miles down a straight shoreline from the point nearest the boat. She can row 2 mph and can walk 5 mph. Where should she land her boat to reach the village in the least amount of time? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #571179 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=571179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2 miles offshore in a boat and wishes to reach a coastal village 6 miles down a straight shoreline from the point nearest the boat.<BR>\n" );
document.write( " She can row 2 mph and can walk 5 mph.<BR>\n" );
document.write( " Where should she land her boat to reach the village in the least amount of time?<BR>\n" );
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document.write( "Boat<BR>\n" );
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document.write( "2 mi<BR>\n" );
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document.write( " .----x-----*-------(6-x)--------V<BR>\n" );
document.write( "* is the landing point which is (6-x) away from the village<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The rowing distance to * equals the hypotenuse, which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2%2B2%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2%2B2%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The walking distance from * to the village is (6-x)<BR>\n" );
document.write( "f(x) = time to the village (time = dist/speed)<BR>\n" );
document.write( "f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2%2B2%5E2%29%2F2 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2%2B2%5E2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286-x%29%29%2F5 ALIGN=MIDDLE  ALT=\"%28%286-x%29%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Graph:<BR>\n" );
document.write( "time = rowing time + walking time<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2%2B2%5E2%29%2F2 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2%2B2%5E2%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286-x%29%29%2F5 ALIGN=MIDDLE  ALT=\"%28%286-x%29%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-4%2C+5%2C+-2%2C+3%2C+%28sqrt%28x%5E2%2B4%29%2F2%29%2B%28%286-x%29%2F5%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "minimum time occurs when x = .87 mi, 2.1 hrs is min time, therefore<BR>\n" );
document.write( "land the boat: 6 - .87 = 5.13 mi from the village  <BR>\n" );
document.write( " </SPAN>\n" );
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