document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=756789>Question 756789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me with this algebra problem:<BR>\n" );
document.write( "Sailing time.  A boat sails a distance of 440 nautical miles. If the boat had averaged 11 nautical miles more each day, the trip would have required 2 fewer days. How long did the trip take?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460440 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=460440\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A boat sails a distance of 440 nautical miles.<BR>\n" );
document.write( " If the boat had averaged 11 nautical miles more each day, <BR>\n" );
document.write( "the trip would have required 2 fewer days.<BR>\n" );
document.write( " How long did the trip take?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let s = Actual number of miles per day traveled<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+11) = Faster speed of the boat, covering 11 more miles per day<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation: time = dist/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Actual time - faster time = 2 days<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=440%2Fs ALIGN=MIDDLE  ALT=\"440%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=440%2F%28%28s%2B11%29%29 ALIGN=MIDDLE  ALT=\"440%2F%28%28s%2B11%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2<BR>\n" );
document.write( "Multiply by s(s+11) to cancel the denominators, resulting in:<BR>\n" );
document.write( "440(s+11) - 440s = 2s(s+11)<BR>\n" );
document.write( "440s + 4840 - 440s = 2s^2 + 22s<BR>\n" );
document.write( "Form a quadratic equation on the right<BR>\n" );
document.write( "0 = 2s^2 + 22s - 4840<BR>\n" );
document.write( "Simplify divide by 2<BR>\n" );
document.write( "s^2 + 11s - 2420 = 0<BR>\n" );
document.write( "Factors<BR>\n" );
document.write( "(s+55)(s-44) = 0<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "s = 44 miles per day the normal speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( " How long did the trip take?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=440%2F44 ALIGN=MIDDLE  ALT=\"440%2F44\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10 days<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution using the faster speed (+11 = 55)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=440%2F55 ALIGN=MIDDLE  ALT=\"440%2F55\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8 days, 2 less\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );