document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=804535>Question 804535</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi there and thank you in advance, here is my problem.\r<BR>\n" );
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document.write( "At noon Vladimir and Estragon depart from the same point. Vladimir walks east at a constant rate of 3mph, While Estragon walks north at a constant rate of 2mph. At what time(to the nearest minute) will they be exactly 20miles apart? \r<BR>\n" );
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document.write( "So far I have tried 2x + 3y = 20 -> y = 20/3 - 2/3x -> 2x + 3(20/3 - 2/3x) = 20<BR>\n" );
document.write( "-> but then I end up with 20 = 20. So I am very confused. Any help would be greatly appreciated.<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 #484803 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=484803\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> one walks at 3 mph<BR>\n" );
document.write( "so at given time he is 3t miles away from starting point\r<BR>\n" );
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document.write( "Similarly\r<BR>\n" );
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document.write( "the other is 2t miles away\r<BR>\n" );
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document.write( "they are walking at right angles to each other\r<BR>\n" );
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document.write( "At a given time t they form a right angle with the starting point\r<BR>\n" );
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document.write( "Use Pythagoras theorem<BR>\n" );
document.write( "(3t)^2+(2t)^2= 20^2\r<BR>\n" );
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document.write( "9t^2+4t^2=400\r<BR>\n" );
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document.write( "13t^2=400<BR>\n" );
document.write( "t^2=400/13<BR>\n" );
document.write( "t^2= 30.77<BR>\n" );
document.write( "t= 5.55 minutes\r<BR>\n" );
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document.write( "say 6 minutes </SPAN>\n" );
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