document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473811>Question 473811</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip a canoeist travels 95 miles at a certain speed. The canoeist travels 22 miles on the second part of the trip at a speed of 5 mph slower. The total time for the trip is 3 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 #325024 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=325024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip a canoeist travels 95 miles at a certain speed.<BR>\n" );
document.write( " The canoeist travels 22 miles on the second part of the trip at a speed of 5 mph slower.<BR>\n" );
document.write( " The total time for the trip is 3 hrs. What was the speed on each part of the trip?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A totally unrealistic problem, a canoe that cover over 100 mi in 3 hrs!!<BR>\n" );
document.write( "But anyway:<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let s = speed for the 1st part of 95 mi<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s-5) = speed for the 2nd part of 22 mi<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation, time = dist/speed<BR>\n" );
document.write( "1st part time + 2nd part time = 3 hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=95%2Fs ALIGN=MIDDLE  ALT=\"95%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%2F%28%28s-5%29%29 ALIGN=MIDDLE  ALT=\"22%2F%28%28s-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( "multiply by s(s-5), resulting in:<BR>\n" );
document.write( "95(s-5) + 22s = 3s(s-5)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "95s - 475 + 22s = 3s^2 - 15s<BR>\n" );
document.write( "117s - 475 = 3s^2 - 15s<BR>\n" );
document.write( "0 = 3s^2 - 15s - 117s + 475<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "3s^2 - 132s + 475 = 0<BR>\n" );
document.write( "use the quadratic formula<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( "a=3; b=-132; c=475<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-132%29+%2B-+sqrt%28132%5E2-4%2A3%2A475+%29%29%2F%282%2A3%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-132%29+%2B-+sqrt%28132%5E2-4%2A3%2A475+%29%29%2F%282%2A3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "You do the math to find s, only one of the solutions will make sense<BR>\n" );
document.write( " </SPAN>\n" );
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