document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=799008>Question 799008</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Flying against the wind, an airplane travels 5100 km in 6 hours. Flying with the wind, the same plane travels 5750 km in 5 hours. What is the rate of the plane in still air and what is the rate of the wind? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #482451 by </B><A HREF=/tutors/aboutme.mpl?userid=Finavon><B>Finavon(81)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Finavon><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=482451\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Wind speed w; plane airspeed p<BR>\n" );
document.write( "Dist=speed * time<BR>\n" );
document.write( "with wind: (p+w)*5 = 5750 (1)<BR>\n" );
document.write( "against: (p-w)*6 = 5100 (2)<BR>\n" );
document.write( "(1) 5p+5w=5750<BR>\n" );
document.write( "(2)+650: 650+6p-6w = 5100+650 = 5750 = (1)<BR>\n" );
document.write( "so 5p+5w=650+6p-6w<BR>\n" );
document.write( "11w=650+p or p=(11w-650) (3)<BR>\n" );
document.write( "subst for p in (1): 5*(11w-650)+5w = 5750<BR>\n" );
document.write( "55w+5w-3250 = 5750 or 60w = 9000<BR>\n" );
document.write( "w=150<BR>\n" );
document.write( "subst in (3): p=11*150 - 650 = 1650-650 = 1000<BR>\n" );
document.write( "Plane 1000 km/hr; Wind 150 km/hr\r<BR>\n" );
document.write( "\n" );
document.write( "Check:<BR>\n" );
document.write( "with: 1150*5= 5750<BR>\n" );
document.write( "against: 850*6= 5100 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );