document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=596745>Question 596745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> John started walking East at 10:00 AM at a rate of 2 km/hr. James stated walking South at 10:30 AM at a rate of 4km/hr. What time is it when they are 5 km apart?\r<BR>\n" );
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document.write( "                                        D (x) = Rate x time<BR>\n" );
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document.write( "Tried formula below, but stuck on time part????\r<BR>\n" );
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document.write( "a2 + b2 = c2  so 4x2 + 2x2 = 25 \r<BR>\n" );
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document.write( "x= 1.25\r<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 #377856 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=377856\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "At 10:30 when James starts, John will be 30 minutes into his trip.  30 minutes at 2 km/hr is 1 km.  One hour later John will be 3 km from the start and James will be 4 km from the start, making a 3-4-5 right triangle at time 11:30.\r<BR>\n" );
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document.write( "That was the easy way.  Now the hard way:\r<BR>\n" );
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document.write( "In the first 30 minutes John goes 1 km.  Every hour after that, he goes 2 km.  So counting <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE t\"> hours since JAMES starts, John goes <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2t\ +\ 1\"> km.  James is going twice as fast as John, so every hour after James starts he goes <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 4t\"> km.\r<BR>\n" );
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document.write( "In order for them to be 5 km apart:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (2t\ +\ 1)^2\ +\ (4t)^2\ =\ 25\">\r<BR>\n" );
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document.write( "Simplifying:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 5t^2\ +\ t\ -\ 6\ =\ 0\">\r<BR>\n" );
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document.write( "Solve for the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE t\">.  Toss out the negative value (you don't care what happened <i>before</i> either of them started the trip, do you?)\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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