document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=439565>Question 439565</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! \r<BR>\n" );
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document.write( "A man in a rowboat that is 2 miles from the nearest point A on a straight shoreline wishes to reach a house located at a point B that is 6 miles farther down the shoreline. He plans to row to a point P that is between A & B and is x miles from the house, and then he will walk the remainder of the distance. Suppose he can row at a rate of 3mi/hr and can walk at the rate of 5mi/hr. If T is the total time required to reach the house, express T as a function of x. \r<BR>\n" );
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document.write( "Thanks <BR>\n" );
document.write( "Mak </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303767 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=303767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw a figure as follows:\r<BR>\n" );
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document.write( "Draw a horizontal line representing the shoreline. Pick a point on this line and label it A. From A move up two units (where a unit is any convenient distance) and mark this point as R. This is where the man in the rowboat is located at the beginning. From A, move six units along the \"shoreline\" and mark this point as B. Pick some point between A and B and label this point as P. Finally, draw line segment PR.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AR+=+2+miles ALIGN=MIDDLE  ALT=\"AR+=+2+miles\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+=+6+miles ALIGN=MIDDLE  ALT=\"AB+=+6+miles\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PB+=+x+miles ALIGN=MIDDLE  ALT=\"PB+=+x+miles\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AP+=+AB+-+PB+=+%286-x%29+ml ALIGN=MIDDLE  ALT=\"AP+=+AB+-+PB+=+%286-x%29+ml\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From Pythagorean Theorem,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PR%5E2+=+AR%5E2+%2B+AP%5E2 ALIGN=MIDDLE  ALT=\"PR%5E2+=+AR%5E2+%2B+AP%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+%2B+%286-x%29%5E2 ALIGN=MIDDLE  ALT=\"4+%2B+%286-x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40+-+12x+%2B+x%5E2 ALIGN=MIDDLE  ALT=\"40+-+12x+%2B+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=PR+=+sqrt%2840+-+12x+%2B+x%5E2%29miles+ ALIGN=MIDDLE  ALT=\"PR+=+sqrt%2840+-+12x+%2B+x%5E2%29miles+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The time it will take to row this distance is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2840+-+12x+%2B+x%5E2%29+miles+%2F+%283mi+%2F+hr%29+=+%28sqrt%2840+-+12x+%2B+x%5E2%29%2F3%29+hr ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The time it will take to walk from P to B is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+mil+%2F+%285mil+%2F+hr%29+=+%28x%2F5%29+hr ALIGN=MIDDLE  ALT=\"x+mil+%2F+%285mil+%2F+hr%29+=+%28x%2F5%29+hr\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the total time <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T ALIGN=MIDDLE  ALT=\"T\"   DISABLED_style= \"max-width:90%; height:auto;\" > in hours to reach the house is given by\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T+=sqrt%2840+-+12x+%2B+x%5E2%29%2F3+%2B+%28x%2F5%29 ALIGN=MIDDLE  ALT=\"T+=sqrt%2840+-+12x+%2B+x%5E2%29%2F3+%2B+%28x%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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