document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=32275>Question 32275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A small airplane travels between two cities A and B, 600 miles apart. When going from city A to city B, the plane encounters headwind and reaches city B four hours after leaving. With the wind the return trip takes three hours.\r<BR>\n" );
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document.write( "What is the airspeed of the plane? What is the speed 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 #18801 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=18801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the speed of the wind be y<BR>\n" );
document.write( "Let the speed of the plane be x<BR>\n" );
document.write( "two eqautions:<BR>\n" );
document.write( "3(x+y)=600---->3x+3y=600<BR>\n" );
document.write( "Solve for y:<BR>\n" );
document.write( "y=200-x<BR>\n" );
document.write( "SEcond EQuation:<BR>\n" );
document.write( "4(x-y)=600 ---->4x-4y=600<BR>\n" );
document.write( "Subsitute foor y:<BR>\n" );
document.write( "4x-4(200-x)=600<BR>\n" );
document.write( "4x+4x-800=600<BR>\n" );
document.write( "8x=1400<BR>\n" );
document.write( "x=175<BR>\n" );
document.write( "y=200-175<BR>\n" );
document.write( "y=25.<BR>\n" );
document.write( "<font color = red>Hence, the speed of the plane is 175mph, and the speed of the wind is 25mph.</font><BR>\n" );
document.write( "Paul. </SPAN>\n" );
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