document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=11412>Question 11412</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Smith family took a canoe 10 miles down the Allegheny River in 1 hour and 15 minutes.  After lunch it took them 4 hours to return.  Find the rate of the current.\r<BR>\n" );
document.write( "\n" );
document.write( "I have set up a table with:<BR>\n" );
document.write( "                     Distance = 10 both upstream and downstream<BR>\n" );
document.write( "       Canoe speed downstream = x + y<BR>\n" );
document.write( "         Canoe speed upstream = x - y<BR>\n" );
document.write( "        Time going downstream = 1 1/4 hour<BR>\n" );
document.write( "          Time going upstream = 4 hours\r<BR>\n" );
document.write( "\n" );
document.write( "I just keep getting bogged down with the fractions when trying to solve by addition method or substitution method. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #5940 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=5940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using the distance formuls:<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+rt ALIGN=MIDDLE  ALT=\"d+=+rt\"   DISABLED_style= \"max-width:90%; height:auto;\" > where: d = distance (10 miles), r = speed (rate) and t = time.\r<BR>\n" );
document.write( "\n" );
document.write( "Downstream trip:\r<BR>\n" );
document.write( "\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+=+r1%281.25%29 ALIGN=MIDDLE  ALT=\"10+=+r1%281.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r1+=+8 ALIGN=MIDDLE  ALT=\"r1+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >mph\r<BR>\n" );
document.write( "\n" );
document.write( "Upstream trip:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10+=+r2%284%29 ALIGN=MIDDLE  ALT=\"10+=+r2%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r2+=+2.5 ALIGN=MIDDLE  ALT=\"r2+=+2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >mph\r<BR>\n" );
document.write( "\n" );
document.write( "Let x = speed of canoe and y = rate of the current.\r<BR>\n" );
document.write( "\n" );
document.write( "Downstream:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By+=+8 ALIGN=MIDDLE  ALT=\"x%2By+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Upstream:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y+=+2.5 ALIGN=MIDDLE  ALT=\"x-y+=+2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite as: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+y+%2B+2.5 ALIGN=MIDDLE  ALT=\"x+=+y+%2B+2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and substitute into the above.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B2.5%29+%2B+y+=+8 ALIGN=MIDDLE  ALT=\"%28y%2B2.5%29+%2B+y+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for y.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+%2B+2.5+=+8 ALIGN=MIDDLE  ALT=\"2y+%2B+2.5+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 2.5 from both sides.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y+=+5.5 ALIGN=MIDDLE  ALT=\"2y+=+5.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2.75 ALIGN=MIDDLE  ALT=\"y+=+2.75\"   DISABLED_style= \"max-width:90%; height:auto;\" > mph is the rate of the current. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );