document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=671640>Question 671640</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Wanda paddles six miles downstream in 1 hour and her friend minnie rowing 1 mph faster goes upstream 6 miles in 2 hours.  Find the speed of the current and the girls speeds\r<BR>\n" );
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document.write( "I tried b-c=3mph<BR>\n" );
document.write( "        b+c=6mph   and tried to solve out from there but the extra mile per hour is throwing me off<BR>\n" );
document.write( "Any help greatly appreciated.<BR>\n" );
document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #417502 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=417502\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need to set up the appropriate algebraic equations - not just try a few numbers etc.<BR>\n" );
document.write( "Let W = Wanda's speed<BR>\n" );
document.write( "Let S = the stream's speed<BR>\n" );
document.write( "Let F = Friend's speed<BR>\n" );
document.write( "Now what do we know?<BR>\n" );
document.write( "(1) W + S = 6, as Wanda goes 6mi in 1 hr downstream (with the current, so add)<BR>\n" );
document.write( "(2) F - S = 3, as her friend goes 6mi in 2hr (6hr/2hr = 3mph) upstream (so subtract) and<BR>\n" );
document.write( "(3) F = W +1, because we are told that Wanda's friend paddles 1 mph faster than Wanda.<BR>\n" );
document.write( "Now for the algebra. If we add equation (1) to equation (2) we get<BR>\n" );
document.write( "(4) W + S + F - S = 6 + 3 or<BR>\n" );
document.write( "(5) W + F = 9, OK so far?<BR>\n" );
document.write( "Now substitute F of (3) into (5) and get<BR>\n" );
document.write( "(6) W + (W + 1) = 9 or<BR>\n" );
document.write( "(7) 2*W = 8 or<BR>\n" );
document.write( "(8) W = 4<BR>\n" );
document.write( "Using (8) in (3) we have<BR>\n" );
document.write( "(9) F = 4 + 1 or<BR>\n" );
document.write( "(10) F = 5<BR>\n" );
document.write( "Using (1) we get<BR>\n" );
document.write( "(11) W + S = 6 or<BR>\n" );
document.write( "(12) 4 + S = 6 or<BR>\n" );
document.write( "(13) S = 2<BR>\n" );
document.write( "Let's check these values using (2).<BR>\n" );
document.write( "Is (F - S = 3)?<BR>\n" );
document.write( "Is (5 - 2 = 3)?<BR>\n" );
document.write( "Is (3 = 3)? Yes<BR>\n" );
document.write( "Answer: Wanda paddles at 4 mph and her friend paddles at 5 mph and the stream is moving at 2 mph. </SPAN>\n" );
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