document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=754537>Question 754537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip, a canoeist travels 22 miles at a certain speed. The canoeist travels 6 miles on the second part of the trip at a speed 5 mph slower.  The total time for the trip is 3 hours.  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 #459158 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=459158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip, a canoeist travels 22 miles at a certain speed. The canoeist travels 6 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hours. What was the speed on each part of the trip?<BR>\n" );
document.write( "***<BR>\n" );
document.write( "let x=speed of 1st part of the trip<BR>\n" );
document.write( "x-5=speed of 2nd part of the trip<BR>\n" );
document.write( "travel time=distance/speed<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%2Fx%2B6%2F%28x-5%29=3 ALIGN=MIDDLE  ALT=\"22%2Fx%2B6%2F%28x-5%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "LCD:x(x-5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%28x-5%29%2B6x=3x%28x-5%29 ALIGN=MIDDLE  ALT=\"22%28x-5%29%2B6x=3x%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "22x-110+6x=3x^2-15x<BR>\n" );
document.write( "3x^2-43x+110=0<BR>\n" );
document.write( "factor:<BR>\n" );
document.write( "(3x-10)(x-11)=0<BR>\n" );
document.write( "x=10/3  (reject, not reasonable)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=11<BR>\n" );
document.write( "x-5=6<BR>\n" );
document.write( "speed of 1st part of the trip=11 mph<BR>\n" );
document.write( "speed of 2nd part of the trip=6 mph<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );