document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=249420>Question 249420</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man stands at a point A on the bank of a straight river, 2 mi wide. To reach point B, 7 mi downstreams on the opposite bank, he first rows his boat to point P on the opposite bank and then walks the remaining distance x to B. He can row at a speed of 2 mi/h and walk at the speed of 5 mi/h. Where should he land so that he reaches B as soon as possible? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181712 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=181712\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man stands at a point A on the bank of a straight river, 2 mi wide.<BR>\n" );
document.write( " To reach point B, 7 mi downstream on the opposite bank, he first rows his boat to point P on the opposite bank and then walks the remaining distance x to B.<BR>\n" );
document.write( " He can row at a speed of 2 mi/h and walk at the speed of 5 mi/h.<BR>\n" );
document.write( " Where should he land so that he reaches B as soon as possible?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x = dist from p to b<BR>\n" );
document.write( "The distance (d) rowed to point p is the hypotenuse:<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%5E2+%2B+%287-x%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%282%5E2+%2B+%287-x%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284+%2B+49+-+14x+%2B+x%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%284+%2B+49+-+14x+%2B+x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2+-+14x+%2B+53%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2+-+14x+%2B+53%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Time to row this dist at 2 mph<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28x%5E2+-+14x+%2B+53%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28sqrt%28x%5E2+-+14x+%2B+53%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Time spent walking at 5 mph = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F5 ALIGN=MIDDLE  ALT=\"x%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Total time (T): <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28x%5E2+-+14x+%2B+53%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28sqrt%28x%5E2+-+14x+%2B+53%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F5 ALIGN=MIDDLE  ALT=\"x%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Graph this and find the minimum time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+20%2C+-5%2C+6%2C+%28sqrt%28x%5E2+-+14x+%2B+53%29%29%2F2+%2B+%28x%2F5%29+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "x = 6.1 mi; P to B (walking distance) Time rowing & walking; approx 2.3 hrs </SPAN>\n" );
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