document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030465>Question 1030465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An airplane flying into a head wind travels the 2400 miles flying distance between two cities in 6 hours.  On the return flight, the same distance is traveled in 5 hours.  Find the air speed of the plane and the speed of the wind, assuming that both remain constant.  (The air speed is the speed of the plane if there were no wind.) Write a system of equations and solve </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645345 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=645345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Plane  	speed	=x	mph					<BR>\n" );
document.write( "wind   	speed	=y	mph					<BR>\n" );
document.write( "against 	wind   	6	hours					<BR>\n" );
document.write( "with 	wind   	5	hours					<BR>\n" );
document.write( "								<BR>\n" );
document.write( "Distance with	wind   	2400	miles		distance against	wind   	2400	<BR>\n" );
document.write( "t=d/r	against	wind   	(x-y)					<BR>\n" );
document.write( "2400.00	/	(	x	-	y	)=	6.00	<BR>\n" );
document.write( "								<BR>\n" );
document.write( "6.00	x	-	-6.00	y	=	2400.00	....................1	<BR>\n" );
document.write( "with	wind   	(x+y)						<BR>\n" );
document.write( "2400.00	/	(	x	+	y	)=	5.00	<BR>\n" );
document.write( "5.00	(	x	+	y	)	=	2400.00	<BR>\n" );
document.write( "5.00	x	+	5.00	y	=	2400.00	...............2	<BR>\n" );
document.write( "Multiply (1) by	5.00							<BR>\n" );
document.write( "Multiply (2) by	6.00							<BR>\n" );
document.write( "we get	2.00							<BR>\n" );
document.write( "30.00	x	+	-30.00	y	=	12000.00		<BR>\n" );
document.write( "30.00	x	+	30.00	y	=	14400.00		<BR>\n" );
document.write( "60.00	x	=	26400.00					<BR>\n" );
document.write( "/	60.00							<BR>\n" );
document.write( "x	=	440	mph					<BR>\n" );
document.write( "								<BR>\n" );
document.write( "plug value of x in (1)				y				<BR>\n" );
document.write( "6	x		-6	y	=	2400		<BR>\n" );
document.write( "2640			-6	-2640	=	2400		<BR>\n" );
document.write( "-6	y	=	2400					<BR>\n" );
document.write( "-6	y	=	-240	mph				<BR>\n" );
document.write( "	y	=	40					<BR>\n" );
document.write( "Plane  	440	mph						<BR>\n" );
document.write( "wind   	40	mph						<BR>\n" );
document.write( "								<BR>\n" );
document.write( "CHECK								<BR>\n" );
document.write( "x+y=	480							<BR>\n" );
document.write( "X-y=	400			+				<BR>\n" );
document.write( "2400.00	/	(	480.00			)=	5	<BR>\n" );
document.write( "2400	/	(	400	)		=	6	<BR>\n" );
document.write( "								<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );