document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=403195>Question 403195</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The problem is:<BR>\n" );
document.write( "Someone paddled upstream at 2mi/h relative to the riverbank. Returning downstream with the current, the speed was 3mi/h.<BR>\n" );
document.write( "Find the paddling speed in still water, and the speed of the rivers current.<BR>\n" );
document.write( "Could you please help me with this one?<BR>\n" );
document.write( "Thank you  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #285176 by </B><A HREF=/tutors/aboutme.mpl?userid=rvquartz><B>rvquartz(19)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rvquartz><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=rvquartz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=285176\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = speed of river current<BR>\n" );
document.write( "let y = your paddling speed\r<BR>\n" );
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document.write( "when going upstream (fighting against the river current) your ACTUAL speed is<BR>\n" );
document.write( "(your paddling speed) MINUS (speed of river current)\r<BR>\n" );
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document.write( "when going downstream (fighting with the river current) your ACTUAL speed is<BR>\n" );
document.write( "(your paddling speed) PLUS (speed of river current)\r<BR>\n" );
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document.write( "so,\r<BR>\n" );
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document.write( "upstream:\r<BR>\n" );
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document.write( "y - x = 2\r<BR>\n" );
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document.write( "downstream:\r<BR>\n" );
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document.write( "y + x = 3\r<BR>\n" );
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document.write( "from upstream equation, we can solve for y and get y = (2 + x)\r<BR>\n" );
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document.write( "we can substitute this into the downstream equation and we have\r<BR>\n" );
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document.write( "(2 + x) + x = 3\r<BR>\n" );
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document.write( "solving for x:\r<BR>\n" );
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document.write( "2 + 2x = 3<BR>\n" );
document.write( "2x = 1<BR>\n" );
document.write( "x = 0.5, and since y = (2 + x), y = 2.5\r<BR>\n" );
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document.write( "speed of river is 0.5 miles per hour<BR>\n" );
document.write( "your paddling speed (in still water) is 2.5 miles per hour </SPAN>\n" );
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