document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1004170>Question 1004170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> during the first part of a kayak trip jack covered 60 km at certain speed he then travel 24 km at a speed that was for kilometers an hour slower if the total trip was eight 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 #620722 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=620722\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> during the first part of a kayak trip jack covered 60 km at certain speed<BR>\n" );
document.write( " he then travel 24 km at a speed that was four kilometers an hour slower<BR>\n" );
document.write( " if the total trip was eight hours, what was the speed on each part of the trip <BR>\n" );
document.write( ":<BR>\n" );
document.write( "let s = the speed for the 1st 60 km of the trip<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s-4) = the speed on the last 24 km<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation; time = dist/speed<BR>\n" );
document.write( "fast time + slower time = 8 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2Fs ALIGN=MIDDLE  ALT=\"60%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F%28%28s-4%29%29 ALIGN=MIDDLE  ALT=\"24%2F%28%28s-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8<BR>\n" );
document.write( "multiply equation by s(s-4), cancel the denominators and you have<BR>\n" );
document.write( "60(s-4) + 24s = 8s(s-4)<BR>\n" );
document.write( "60s - 240 + 24s = 8s^2 - 32s<BR>\n" );
document.write( "84s - 240 = 8s^2 - 32s<BR>\n" );
document.write( "Combine to form a quadratic equation on the right<BR>\n" );
document.write( "0 = 8s^2 - 32s - 84s + 240<BR>\n" );
document.write( "8s^2 - 116s + 240 = 0<BR>\n" );
document.write( "simplify, divide equation by 4<BR>\n" );
document.write( "2s^2 - 29s + 60 = 0<BR>\n" );
document.write( "You can use the quadratic formula to solve a=2; b=-29; c=60<BR>\n" );
document.write( "But this will factor to<BR>\n" );
document.write( "(2s - 5)(s - 12) = 0<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "2s = 5<BR>\n" );
document.write( "s = 2.5<BR>\n" );
document.write( "and<BR>\n" );
document.write( "s = 12 km/hr, this makes sense<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Confirm this by finding the actual time at each speed<BR>\n" );
document.write( "60/12 = 5 hrs<BR>\n" );
document.write( "24/8 = 3 hrs (4 km/hr slower)<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "total 8 hrs </SPAN>\n" );
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