document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=325255>Question 325255</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is the word problem. Thanks!:\r<BR>\n" );
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document.write( "Jane and Tariq took a canoeing trip, traveling 6 mi upsteam against a 2 mi/h current. They then returned to the same point downstream. If their entire trip took 4 h, how fast can they paddle in still water? (Hint: If r is their rate, in mi/h, in still water, their rate upstream is r-2 and their rate dwonstream is r+2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #232907 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=232907\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Jane and Tariq took a canoeing trip, traveling 6 mi upsteam against a 2 mi/h current. <BR>\n" );
document.write( "They then returned to the same point downstream. <BR>\n" );
document.write( "If their entire trip took 4 h, how fast can they paddle in still water? (Hint: If r is their rate, in mi/h, in still water, their rate upstream is r-2 and their rate downstream is r+2)\r<BR>\n" );
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document.write( "Upstream DATA:<BR>\n" );
document.write( "rate = r-2 mph ; distance = 6 miles ; time = 6/(r-2) hrs.<BR>\n" );
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document.write( "Downstream DATA:<BR>\n" );
document.write( "rate = r+2 mph ; distance = 6 miles ; time = 6/(r+2) hrs<BR>\n" );
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document.write( "Equations: <BR>\n" );
document.write( "time + time = 4 hrs<BR>\n" );
document.write( "6/(r-2) + 6/(r+2) = 4 hrs<BR>\n" );
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document.write( "6(r+2) + 6(r-2) = 4(r^2-4)<BR>\n" );
document.write( "12r = 4r^2 - 16<BR>\n" );
document.write( "r^2 - 3r - 4 = 0<BR>\n" );
document.write( "(r-4)(r+1) = 0<BR>\n" );
document.write( "Positive solution: <BR>\n" );
document.write( "r = 4 mph (rate in still water)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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