document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=560125>Question 560125</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip, a canoeist travels 34 miles at a certain speed.  The canoeist travels 9 miles on the second part of the trip at a speed 5mph slower.  The total time for the trip is 5hrs. What was the speed on each part of the trip?  Type an integer or decimal and round to the nearest hundredth.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363717 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=363717\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip, a canoeist travels 34 miles at a certain speed.<BR>\n" );
document.write( " The canoeist travels 9 miles on the second part of the trip at a speed 5mph slower.<BR>\n" );
document.write( " The total time for the trip is 5hrs. What was the speed on each part of the trip?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let s = the speed on the 1st 34 mi<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s-5) = speed on the last 9 mi<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation, time = dist/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "fast time + slow time = 5 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34%2Fs ALIGN=MIDDLE  ALT=\"34%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F%28%28s-5%29%29 ALIGN=MIDDLE  ALT=\"9%2F%28%28s-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<BR>\n" );
document.write( "multiply by s(s-5), results:<BR>\n" );
document.write( "34(s-5) + 9s = 5s(s-5)<BR>\n" );
document.write( "34s - 170 + 9s = 5s^2 - 25s<BR>\n" );
document.write( "43s - 170 = 5s^2 - 25s<BR>\n" );
document.write( "0 = 5s^2 - 25s - 43s + 170 <BR>\n" );
document.write( "A quadratic equation\<BR>\n" );
document.write( "5s^2 - 68s + 170 = 0<BR>\n" );
document.write( "use the quadratic formula to find s:<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( "In this problem x=s; a=5; b=-68; c=170<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%28-%28-68%29+%2B-+sqrt%28-68%5E2-4%2A5%2A170+%29%29%2F%282%2A5%29+ ALIGN=MIDDLE  ALT=\"s+=+%28-%28-68%29+%2B-+sqrt%28-68%5E2-4%2A5%2A170+%29%29%2F%282%2A5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2868+%2B-+sqrt%284624-3400+%29%29%2F10+ ALIGN=MIDDLE  ALT=\"x+=+%2868+%2B-+sqrt%284624-3400+%29%29%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "I'll let you do the rest of the math here<BR>\n" );
document.write( "you will get two positive solutions, but only one will make sense<BR>\n" );
document.write( "Check it in the original time equation </SPAN>\n" );
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