document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162664>Question 162664</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip, a canoeist travels 69 miles at a certain speed. The canoeist travels 2 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hrs. What was the speed on each part of the trip? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119890 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=119890\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let time for 1st part  = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "Then the time for the 2nd part will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+-+t ALIGN=MIDDLE  ALT=\"3+-+t\"   DISABLED_style= \"max-width:90%; height:auto;\" >hrs<BR>\n" );
document.write( "The speed for the 1st part is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The speed for the 2nd part is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+-+5 ALIGN=MIDDLE  ALT=\"s+-+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "The distance for the 1st part was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=69 ALIGN=MIDDLE  ALT=\"69\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "The distance for the 2nd part was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=69+=+s%2At ALIGN=MIDDLE  ALT=\"69+=+s%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+%28s+-+5%29%2A%283+-+t%29 ALIGN=MIDDLE  ALT=\"2+=+%28s+-+5%29%2A%283+-+t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+3s+-+15+-+st+%2B+5t ALIGN=MIDDLE  ALT=\"2+=+3s+-+15+-+st+%2B+5t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+3s+-+15+-+69+%2B+5t ALIGN=MIDDLE  ALT=\"2+=+3s+-+15+-+69+%2B+5t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3s+=+2+%2B+15+%2B+69+-+5t ALIGN=MIDDLE  ALT=\"3s+=+2+%2B+15+%2B+69+-+5t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3s+=+86+-+5t ALIGN=MIDDLE  ALT=\"3s+=+86+-+5t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting (1) into this,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3s+=+-5%2A%2869%2Fs%29+%2B+86 ALIGN=MIDDLE  ALT=\"3s+=+-5%2A%2869%2Fs%29+%2B+86\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3s%5E2+=+-345+%2B+86s ALIGN=MIDDLE  ALT=\"3s%5E2+=+-345+%2B+86s\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3s%5E2+-+86s+%2B+345+=+0 ALIGN=MIDDLE  ALT=\"3s%5E2+-+86s+%2B+345+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"s+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+3 ALIGN=MIDDLE  ALT=\"a+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+-86 ALIGN=MIDDLE  ALT=\"b+=+-86\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+345 ALIGN=MIDDLE  ALT=\"c+=+345\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%2886+%2B-+sqrt%28+86%5E2-4%2A3%2A345+%29%29%2F%282%2A3%29+ ALIGN=MIDDLE  ALT=\"s+=+%2886+%2B-+sqrt%28+86%5E2-4%2A3%2A345+%29%29%2F%282%2A3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%2886+%2B-+sqrt%287396+-+4140%29%29%2F6 ALIGN=MIDDLE  ALT=\"s+=+%2886+%2B-+sqrt%287396+-+4140%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%2886+%2B-+sqrt%283256%29%29%2F6 ALIGN=MIDDLE  ALT=\"s+=+%2886+%2B-+sqrt%283256%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%2886+%2B+57.06%29%2F6 ALIGN=MIDDLE  ALT=\"s+=+%2886+%2B+57.06%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%2886+-+57.06%29%2F6 ALIGN=MIDDLE  ALT=\"s+=+%2886+-+57.06%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I'll pick the answer that makes the most sense<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+23.84 ALIGN=MIDDLE  ALT=\"s+=+23.84\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+4.82 ALIGN=MIDDLE  ALT=\"s+=+4.82\"   DISABLED_style= \"max-width:90%; height:auto;\" >(I can't go 5 mph slower than this, so I'll pick<BR>\n" );
document.write( "the 1st answer)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+-+5+=+18.84 ALIGN=MIDDLE  ALT=\"s+-+5+=+18.84\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The canoeist went 23.84 mi/hr on the 1st part of the trip and<BR>\n" );
document.write( "18.84 mi/hr on the 2nd part<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=69+=+s%2At ALIGN=MIDDLE  ALT=\"69+=+s%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+%28s+-+5%29%2A%283+-+t%29 ALIGN=MIDDLE  ALT=\"2+=+%28s+-+5%29%2A%283+-+t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=69+=+23.84t ALIGN=MIDDLE  ALT=\"69+=+23.84t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+2.89 ALIGN=MIDDLE  ALT=\"t+=+2.89\"   DISABLED_style= \"max-width:90%; height:auto;\" >hrs<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+18.84%2A%283+-+2.89%29 ALIGN=MIDDLE  ALT=\"2+=+18.84%2A%283+-+2.89%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+18.84%2A.11 ALIGN=MIDDLE  ALT=\"2+=+18.84%2A.11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+2.07 ALIGN=MIDDLE  ALT=\"2+=+2.07\"   DISABLED_style= \"max-width:90%; height:auto;\" > (error is due to rounding off)<BR>\n" );
document.write( "Hope I got it right! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );