document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=322579>Question 322579</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Airplane A travels 1000 mi at a certain speed. Airplaine B travels the same distance in 1 hr less time but travels 50 mph faster. Find the time that Airplane B travels. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230943 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=230943\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Airplane  Time = 1000/x  where x is the speed of the plane<BR>\n" );
document.write( "Airplane B Time = 1000/x+50 ( 50 mph faster)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Time taken by airplane A - Time by Airplane B =1<BR>\n" );
document.write( "1000/x - 1000/ x+50=1 <BR>\n" );
document.write( "LCM = x(x+50)<BR>\n" );
document.write( "1000(x+50)- 1000x= x(x+50)<BR>\n" );
document.write( "1000x+50,000 - 1000x=x^2 +50x<BR>\n" );
document.write( "x^2+50x-50000=0<BR>\n" );
document.write( "x^2+250x-200x-50000=0<BR>\n" );
document.write( "x(x+250)-200(x+2 b50)=0<BR>\n" );
document.write( "(x+250)(x-200)=0<BR>\n" );
document.write( "x= 200 mph speed of plane A<BR>\n" );
document.write( "speed of plane B = 250 mph<BR>\n" );
document.write( "distance traveled = 1000miles<BR>\n" );
document.write( "time it traveled = 1000/250 = 4 hours </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );