document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=705654>Question 705654</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A jet plane, flying 125 mph faster than a propeller plane, travels 5850 miles in 5 hours less time than the propeller plane takes to fly the same distance. How fast does each plane fly? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #434694 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=434694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A jet plane, flying 125 mph faster than a propeller plane, travels 5850 miles in 5 hours less time than the propeller plane takes to fly the same distance. How fast does each plane fly?<BR>\n" );
document.write( "**<BR>\n" );
document.write( "let x=speed of propeller plane<BR>\n" );
document.write( "x+125=speed of jet plane<BR>\n" );
document.write( "travel time=distance/speed<BR>\n" );
document.write( "..<BR>\n" );
document.write( "5850/x-5850/(x+125)=5<BR>\n" );
document.write( "LCD:x(x+125)<BR>\n" );
document.write( "5850(x+125)-5850x=5x(x+125)<BR>\n" );
document.write( "5850x+731250-5850x=5x^2+625x<BR>\n" );
document.write( "5x^2+625x-731250=0<BR>\n" );
document.write( "x^2+125x-146250=0<BR>\n" );
document.write( "(x-325)(x+450)=0<BR>\n" );
document.write( "x=-450 (reject, x>0)<BR>\n" );
document.write( "x=325<BR>\n" );
document.write( "x+125=450<BR>\n" );
document.write( "speed of propeller plane=325 mph<BR>\n" );
document.write( "speed of jet plane=450 mph </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );