document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=506573>Question 506573</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip, a canoeist travels 75 miles at a certain speed.  The canoeist travels 12 miles on the second part of the trip at a speed 5 mph slower.  The total time for the trip is 2 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 #340309 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=340309\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip, a canoeist travels 75 miles at a certain speed.<BR>\n" );
document.write( " The canoeist travels 12 miles on the second part of the trip at a speed 5 mph slower.<BR>\n" );
document.write( " The total time for the trip is 2 hrs.<BR>\n" );
document.write( " What was the speed on each part of the trip?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let s = the certain speed of the 1st part of the trip<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s-5) = his speed on the 2nd part of the trip<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation, time = dist/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75%2Fs ALIGN=MIDDLE  ALT=\"75%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F%28%28s-5%29%29 ALIGN=MIDDLE  ALT=\"12%2F%28%28s-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2 hrs<BR>\n" );
document.write( "multiply by s(s-5), results:<BR>\n" );
document.write( "75(s-5) + 12s = 2s(s-5)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "75s - 375 + 12s = 2s^2 - 10s<BR>\n" );
document.write( "87s - 375 = 2s^2 - 10s<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Arrange as a quadratic equation<BR>\n" );
document.write( "2s^2 - 10s - 87s + 375 = 0<BR>\n" );
document.write( "2s^2 - 97s + 375 = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Solve this using the quadratic formula, a=2, b=-97, c=375<BR>\n" );
document.write( "only one solution will be reasonable. <BR>\n" );
document.write( " </SPAN>\n" );
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