document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=276379>Question 276379</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please explain this problem step by step. I am very confuse. seting up an equation in two variables for each problme. then solve. A rowing team rowing with the current traveled 18 mi in 2h. against the curret, the team rowed a distance of 8 mi in the same amount of time. find the rate of the rowing team in calm water and rate of the curreent. PLEASE HELP </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #201431 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=201431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rowing team rowing with the current traveled 18 mi in 2h. <BR>\n" );
document.write( "against the current, the team rowed a distance of 8 mi in the same amount of time. <BR>\n" );
document.write( "find the rate of the rowing team in calm water and rate of the current<BR>\n" );
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document.write( "Let r = the rowing rate in still water<BR>\n" );
document.write( "Let c = rate of the current<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(r+c) = speed downstream<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(r-c) = speed upstream<BR>\n" );
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document.write( "Write a distance equation for each way.  Dist = speed * time (2hrs for both)<BR>\n" );
document.write( "2(r+c) = 18; (downstream)<BR>\n" );
document.write( "2(r-c) =  8: (upstream)<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Multiply what's inside brackets in both equations, then use elimination:<BR>\n" );
document.write( "2r + 2c = 18<BR>\n" );
document.write( "2r - 2c = 8<BR>\n" );
document.write( "----------------adding eliminates c, find r<BR>\n" );
document.write( "4r + 0c = 26<BR>\n" );
document.write( "4r = 26<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2F4 ALIGN=MIDDLE  ALT=\"26%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = 6.5 mph rowing speed in still water<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find c using the equation 2r + 2c = 18, substitute 6.5 for r<BR>\n" );
document.write( "2(6.5) + 2c = 18<BR>\n" );
document.write( "13 + 2c = 18<BR>\n" );
document.write( "2c = 18 - 13; subtract 13 from both sides<BR>\n" );
document.write( "2c = 5<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F2 ALIGN=MIDDLE  ALT=\"5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c = 2.5 mph is the rate of the current<BR>\n" );
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document.write( ":<BR>\n" );
document.write( "Check solutions in the original upstream equation, substitute for r and c<BR>\n" );
document.write( "2(r-c) =  8: <BR>\n" );
document.write( "2(6.5 - 2.5) = 8<BR>\n" );
document.write( "2(4) = 8; confirms our solution<BR>\n" );
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document.write( "Did this unconfuse you, any questions, ankor@att.net </SPAN>\n" );
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