document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=937969>Question 937969</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Malik canoed against the current for 2 hours and then with the current for 1 hour. Julio traveled against the current for 2.5 hours and with the current for 1.5 hours. If they traveled a total of 9.5 miles against the current and 20.5 miles with the current and the current is going 3 miles per hour how fast do Malik and Julio travel in still water? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #571323 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=571323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Malik canoed against the current for 2 hours and then with the current for 1 hour. Julio traveled against the current for 2.5 hours and with the current for 1.5 hours. If they traveled a total of 9.5 miles against the current and 20.5 miles with the current and the current is going 3 miles per hour how fast do Malik and Julio travel in still water?\r<BR>\n" );
document.write( "\n" );
document.write( "Let Malik's rate be x mph<BR>\n" );
document.write( "and Julio's rate be y mph\r<BR>\n" );
document.write( "\n" );
document.write( "rate of current = 2 mph\r<BR>\n" );
document.write( "\n" );
document.write( "Malik upstream distance = (x-3)*2<BR>\n" );
document.write( "Jukio's upstream distance = (y-3)*2.5 \r<BR>\n" );
document.write( "\n" );
document.write( "2(x-3)+2.5(y-3)= 9.5<BR>\n" );
document.write( "2x-6+2.5y-7.5= 9.5<BR>\n" );
document.write( "2x+2.5y -13.5=9.5<BR>\n" );
document.write( "2x+2.5y=23<BR>\n" );
document.write( "multiply by 2<BR>\n" );
document.write( "4x+5y=46................(1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Similarly<BR>\n" );
document.write( "down stream\r<BR>\n" );
document.write( "\n" );
document.write( "1(x+3)+1.5(y+3)=20.5\r<BR>\n" );
document.write( "\n" );
document.write( "x+3 +1.5y+4.5 =20.5\r<BR>\n" );
document.write( "\n" );
document.write( "x+1.5y=13<BR>\n" );
document.write( "multiply by -4<BR>\n" );
document.write( "-4x-6y=--54...........(2)\r<BR>\n" );
document.write( "\n" );
document.write( "Add (1) & (2)<BR>\n" );
document.write( "-y= -8<BR>\n" );
document.write( "y= 8\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "4x+5y=46\r<BR>\n" );
document.write( "\n" );
document.write( "plug y\r<BR>\n" );
document.write( "\n" );
document.write( "we get 4x+40=46<BR>\n" );
document.write( "x=1.5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<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" );