document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81379>Question 81379</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780321127112/algebrahomeworkh>Beginning Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A plane can fly 36 miles with the wind, in the same amount of time that it can fly 12 miles against the wind. the plane flies at 100 mph in still air. Find 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 #58299 by </B><A HREF=/tutors/aboutme.mpl?userid=askmemath><B>askmemath(368)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=askmemath><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=58299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With the wind, the air will aid the airplane\r<BR>\n" );
document.write( "\n" );
document.write( "Let speed of Air = A<BR>\n" );
document.write( "Speed of plane  = 100\r<BR>\n" );
document.write( "\n" );
document.write( "Speed With wind = 100+A<BR>\n" );
document.write( "Speed Against wind = 100-A\r<BR>\n" );
document.write( "\n" );
document.write( "Since Time is Constant and we know Distance = Speed x Time\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Distance_1%2FSpeed_1 ALIGN=MIDDLE  ALT=\"Distance_1%2FSpeed_1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Distance_2%2FSpeed_2 ALIGN=MIDDLE  ALT=\"Distance_2%2FSpeed_2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "36/(100+A) = 12/(100-A)\r<BR>\n" );
document.write( "\n" );
document.write( "Dividing both sides with 12<BR>\n" );
document.write( "3/(100+A) = 1/(100-A)\r<BR>\n" );
document.write( "\n" );
document.write( "Cross Multiplying\r<BR>\n" );
document.write( "\n" );
document.write( "300-3A = 100+A<BR>\n" );
document.write( "200 = 4A<BR>\n" );
document.write( "A = 50\r<BR>\n" );
document.write( "\n" );
document.write( "So speed of air = 50mph<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );