document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82668>Question 82668</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This problem is not from a textbook:\r<BR>\n" );
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document.write( "I understand that I need to create two equations but I am not sure how to formulate them. I am not sure how to position the variables in the \"rate x time = distance\" formula...\r<BR>\n" );
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document.write( "In a canoe race, a team paddles downstream 560 meters in 70 seconds.  The same team makes the trip back upstream to the starting point in 80 seconds.  First, write a system of two equations in two variables that models the problem.  (Let r = the rate of the canoe team in still water and c = the rate of the current.\r<BR>\n" );
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document.write( "Second, find the team's rate in still water and the rate of the current  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59259 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=59259\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a canoe race, a team paddles downstream 560 meters in 70 seconds. The same team makes the trip back upstream to the starting point in 80 seconds. First, write a system of two equations in two variables that models the problem. (Let r = the rate of the canoe team in still water and c = the rate of the current. <BR>\n" );
document.write( "Second, find the team's rate in still water and the rate of the current <BR>\n" );
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document.write( "Downstream DATA:<BR>\n" );
document.write( "distance = 560 m ; time = 70 sec ; rate = 560/70 = 8 m/sec<BR>\n" );
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document.write( "Upstream DATA:<BR>\n" );
document.write( "distance = 560 m ; time = 80 sec; rate = 560/80 = 7 m/sec<BR>\n" );
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document.write( "Let rate in still water be s; Let rate of current be c:<BR>\n" );
document.write( "EQUATIONS:<BR>\n" );
document.write( "s+c = 8 m/sec<BR>\n" );
document.write( "s-c = 7 m/sec<BR>\n" );
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document.write( "Add the two equation to solve for \"s\":<BR>\n" );
document.write( "2s = 15<BR>\n" );
document.write( "s=7.5 m/sec (this is the rate of the boat in still water)<BR>\n" );
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document.write( "Substitute to solve for \"c\":<BR>\n" );
document.write( "7.5-c=7<BR>\n" );
document.write( "c=0.5 m/sec (this is the rate of the current)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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