document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177332>Question 1177332</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A kayak can travel 24 miles downstream in 2 ​hours, while it would take 12 hours to make the same trip upstream. Find the speed of the kayak in still​ water, as well as the speed of the current. Let k represent the speed of the kayak in still​ water, and let c represent the speed 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 #806176 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=806176\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "A kayak can travel 24 miles downstream in 2 ​hours, while it would take 12 hours to make the same trip upstream. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " Let k represent the speed of the kayak in still​ water,<BR>\n" );
document.write( " and let c represent the speed of the current.\r<BR>\n" );
document.write( "\n" );
document.write( "speed downstream = k+c<BR>\n" );
document.write( "distance = 24 miles<BR>\n" );
document.write( "time =2 hours\r<BR>\n" );
document.write( "\n" );
document.write( "24/(k+c) =2<BR>\n" );
document.write( "2k+2c =24<BR>\n" );
document.write( "divide by 2<BR>\n" );
document.write( "k+c =12 -----------(1)\r<BR>\n" );
document.write( "\n" );
document.write( "Upstream\r<BR>\n" );
document.write( "\n" );
document.write( "24/(k-c) = 12\r<BR>\n" );
document.write( "\n" );
document.write( "12k-12c=24<BR>\n" );
document.write( "/12<BR>\n" );
document.write( "k-c=2-----------2\r<BR>\n" );
document.write( "\n" );
document.write( "solve equation 1 &2 \r<BR>\n" );
document.write( "\n" );
document.write( "add them<BR>\n" );
document.write( "2k= 14<BR>\n" );
document.write( "k =7 speed of kayak = 7mph<BR>\n" );
document.write( "speed of current = 5 by plugging in equation 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );