document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=360337>Question 360337</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a diagram, a man is in a rowboat at point A, which is located 3 miles from point B, the closest point to A on a straight shoreline. The man needs to get to point C, on the same shoreline, 10 miles from B.\r<BR>\n" );
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document.write( "If the man travels on water at a rate of 1/2 miles per hour and travels on land at a rate of 3/2 miles per hour, where should he land the boat in order to arrive at point C in the SHORTEST 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 #257182 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=257182\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a diagram, a man is in a rowboat at point A, which is located 3 miles from <BR>\n" );
document.write( "point B, the closest point to A on a straight shoreline.<BR>\n" );
document.write( " The man needs to get to point C, on the same shoreline, 10 miles from B.<BR>\n" );
document.write( "If the man travels on water at a rate of 1/2 miles per hour and travels on land<BR>\n" );
document.write( " at a rate of 3/2 miles per hour, where should he land the boat in order to<BR>\n" );
document.write( " arrive at point C in the SHORTEST amount of time?<BR>\n" );
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document.write( "Let x = the distance from point B where the boat lands on the shore<BR>\n" );
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document.write( "(10-x) = the walking distance to point C<BR>\n" );
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document.write( "The rowing distance will be the hypotenuse, with sides x and 3<BR>\n" );
document.write( "Rowing distance = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2+%2B+3%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2+%2B+3%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "A time equation, Time = dist/speed<BR>\n" );
document.write( "Use .5 mph for rowing speed and 1.5 mph for walking speed<BR>\n" );
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document.write( "Total time = rowing time + walking time<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2+%2B+3%5E2%29%2F.5 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2+%2B+3%5E2%29%2F.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2810-x%29%29%2F1.5 ALIGN=MIDDLE  ALT=\"%28%2810-x%29%29%2F1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Graph the above equation, time on the y axis<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-3%2C+6%2C+-4%2C+16%2C+%28%28sqrt%28x%5E2%2B9%29%29%2F.5%29%2B%28%2810-x%29%2F1.5%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Using a graphing calc, min: x=1.06, y=12.32 hrs<BR>\n" );
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document.write( "He should land the boat and walk 1.06 mi from A, for shortest travel time (12.32 hrs) </SPAN>\n" );
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