document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=883478>Question 883478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The highway distance between two cities is 280 miles. The speed for 80 miles of the trip from one city to the other is 10 mph faster than the speed for the remainder of the distance. Find the two speeds if the total time of the trip is 6 hours?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #533562 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=533562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The highway distance between two cities is 280 miles. The speed for 80 miles of the trip from one city to the other is 10 mph faster than the speed for the remainder of the distance. Find the two speeds if the total time of the trip is 6 hours?<BR>\n" );
document.write( "***<BR>\n" );
document.write( "let x=speed for 80 miles of the trip<BR>\n" );
document.write( "x-10=speed for remaining 200 miles of the trip<BR>\n" );
document.write( "travel time=distance/speed<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2Fx%2B200%2F%28x-10%29=6 ALIGN=MIDDLE  ALT=\"80%2Fx%2B200%2F%28x-10%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "lcd=x(x-10)<BR>\n" );
document.write( "80(x-10)+200x=6x(x-10)<BR>\n" );
document.write( "80x-800+200x=6x^2-60x<BR>\n" );
document.write( "6x^2-340x+800<BR>\n" );
document.write( "solve for x by 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=6, b=-340, c=800<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "x&#8776;2.5(reject, not reasonable)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x&#8776;54.2<BR>\n" );
document.write( "x-10&#8776;44.2<BR>\n" );
document.write( "speed for 80 miles of the trip=54.2 mph<BR>\n" );
document.write( "speed for remaining 200 miles of the trip=44.2 mph </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );