document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=34865>Question 34865</A>: <I><SPAN STYLE=\"word-break: break-all;\"> With the wind, an airplane travels 2200 miles in 4 hours. Against the wind, it takes 5 hours to travel 2350 miles. Find the rate of the plane in still air. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21091 by </B><A HREF=/tutors/aboutme.mpl?userid=Paul><B>Paul(988)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Paul><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=21091\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the rate of the wind be y<BR>\n" );
document.write( "Let the rate of the plane be x<BR>\n" );
document.write( "Equation 1:<BR>\n" );
document.write( "4x+4y=2200<BR>\n" );
document.write( "y=550-x (subsittuion)<BR>\n" );
document.write( "Equation 2:<BR>\n" );
document.write( "5x-5y=2350<BR>\n" );
document.write( "Apply subsitution:<BR>\n" );
document.write( "5x-5(550-x)=2350<BR>\n" );
document.write( "10x=5100<BR>\n" );
document.write( "x=510<BR>\n" );
document.write( "y=550-510<BR>\n" );
document.write( "y=40<BR>\n" );
document.write( "Hence, the speed of the plane is 510mph and the speed of the wind is 40mph.<BR>\n" );
document.write( "Paul.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );