document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=468796>Question 468796</A>: <I><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip a canoeist travels 45 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 4 hrs. What was the total time on each trip? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321693 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=321693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> During the first part of a trip a canoeist travels 45 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 4 hrs.<BR>\n" );
document.write( " What was the total time on each trip?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let s = speed for the 1st 45 mi<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s-5) = speed for the last 12 mi<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation, time = dist/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "1st part time + 2nd part time = 4 hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2Fs ALIGN=MIDDLE  ALT=\"45%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;\" > = 4<BR>\n" );
document.write( "multiply by s(s-5), results:<BR>\n" );
document.write( "45(s-5) + 12s = 4s(s-5)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "45s - 225 + 12s = 4s^2 - 20s<BR>\n" );
document.write( "57s - 225 = 4s^2 - 20s<BR>\n" );
document.write( "Arrange as a quadratic on the right<BR>\n" );
document.write( "0 = 4s^2 - 20s - 57s + 225<BR>\n" );
document.write( ":<BR>\n" );
document.write( "4s^2 - 77s + 225 = 0<BR>\n" );
document.write( "Solve this with 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( "In this problem we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+%28-%28-77%29+%2B-+sqrt%28-77%5E2-4%2A4%2A225+%29%29%2F%282%2A4%29+ ALIGN=MIDDLE  ALT=\"s+=+%28-%28-77%29+%2B-+sqrt%28-77%5E2-4%2A4%2A225+%29%29%2F%282%2A4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Do the math,  only one solution will make sense<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );