document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=466444>Question 466444</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip a canoeist travels 46 miles at a certain speed.  The canoeist travels 16 miles on the second part of the trip at a speed 5 mph slower.  The total time for the trip was 5 hours.  What was the speed for 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 #320369 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=320369\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip a canoeist travels 46 miles at a certain speed. The canoeist travels 16 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip was 5 hours. What was the speed for each part of the trip?<BR>\n" );
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document.write( "let x=speed of first part of trip<BR>\n" );
document.write( "x-5 = speed of second part of trip<BR>\n" );
document.write( "Travel time = distance/speed<BR>\n" );
document.write( "46/x+16/(x-5)=5<BR>\n" );
document.write( "LCD:x(x-5)<BR>\n" );
document.write( "46(x-5)+16x=5(x)(x-5)<BR>\n" );
document.write( "46x-230+16x=5x^2-25x<BR>\n" );
document.write( "5x^2-87x+230=0<BR>\n" );
document.write( "Solve by quadratic formula below:<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%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( "..<BR>\n" );
document.write( "a=5, b=-87, c=230<BR>\n" );
document.write( "x=[-(-87)ħsqrt((-87)^2-4*5*230)]/2*5<BR>\n" );
document.write( "x=[87ħsqrt(2969)]/10<BR>\n" );
document.write( "x=[87ħ54.49]/10<BR>\n" );
document.write( "x=14.15<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=3.25 (reject,x-5>0)<BR>\n" );
document.write( "Ans:<BR>\n" );
document.write( "Speed of first trip=14.15 mph<BR>\n" );
document.write( "Speed of second trip=14.15-5=9.15 mph </SPAN>\n" );
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