document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=703980>Question 703980</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a small plane traveled the 1800 km distance between two islands in 3 hours with the wind. the return trip against the wind took 6 hours . find the rate of the plane in still air and 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 #433830 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=433830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a small plane traveled the 1800 km distance between two islands in 3 hours with the wind. the return trip against the wind took 6 hours . find the rate of the plane in still air and the rate of the wind.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "let x=rate of airplane in still air<BR>\n" );
document.write( "let c=rate of wind<BR>\n" );
document.write( "x+c=rate of airplane downwind<BR>\n" );
document.write( "x-c=rate of airplane upwind<BR>\n" );
document.write( "travel time=distance/rate\r<BR>\n" );
document.write( "\n" );
document.write( "1800/(x+c)=3<BR>\n" );
document.write( "1800/(x-c)=6<BR>\n" );
document.write( "..<BR>\n" );
document.write( "3x+3c=1800<BR>\n" );
document.write( "6x-6c=1800<BR>\n" );
document.write( "..<BR>\n" );
document.write( "6x+6c=3600<BR>\n" );
document.write( "6x-6c=1800<BR>\n" );
document.write( "12x=5400<BR>\n" );
document.write( "x=450<BR>\n" );
document.write( "rate of airplane in still air=450 km/hr </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );