document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=617203>Question 617203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> during th first part of a trip a canoeist travels 37 miles at a certain speed. the canoeist travels 22 miles on the  second part of the trip at a speed of 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 #388206 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=388206\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the time for the 1st trip<BR>\n" );
document.write( "<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;\" > = time for the 2nd trip<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the speed for the 1st trip<BR>\n" );
document.write( "<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;\" > = the speed for the 2nd trip<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Ist rip:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+37+=+s%2At+ ALIGN=MIDDLE  ALT=\"+37+=+s%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2nd trip:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+22+=+%28+s+-+5+%29%2A%28+3+-+t+%29+ ALIGN=MIDDLE  ALT=\"+22+=+%28+s+-+5+%29%2A%28+3+-+t+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+22+=+3s+-+15+-+s%2At+%2B+5t+ ALIGN=MIDDLE  ALT=\"+22+=+3s+-+15+-+s%2At+%2B+5t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From (1):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+37%2Fs+ ALIGN=MIDDLE  ALT=\"+t+=+37%2Fs+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+22+=+3s+-+15+-+s%2A%2837%2Fs%29+%2B+5%2A%2837%2Fs%29+ ALIGN=MIDDLE  ALT=\"+22+=+3s+-+15+-+s%2A%2837%2Fs%29+%2B+5%2A%2837%2Fs%29+\"   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( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+22s+=+3s%5E2+-+15s+-+37s+%2B+185+ ALIGN=MIDDLE  ALT=\"+22s+=+3s%5E2+-+15s+-+37s+%2B+185+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3s%5E2+-+52s+-+22s+%2B+185+=+0+ ALIGN=MIDDLE  ALT=\"+3s%5E2+-+52s+-+22s+%2B+185+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3s%5E2+-74s+%2B+185+=+0+ ALIGN=MIDDLE  ALT=\"+3s%5E2+-74s+%2B+185+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use quadratic formula to solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+s+ ALIGN=MIDDLE  ALT=\"+s+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );