document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=864657>Question 864657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an airplane flies 150 miles east, then returns to the beginning point.  The total flight time is 2 hours.  The flight to the east is with the wind, and the return trip is against the wind.  The wind is blowing at 25 miles per hour.  What is the speed of the plane with no wind, to the nearest tenth? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #521162 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=521162\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Plane	speed	x   	mph		Time forward + time return = hours			2	hours								<BR>\n" );
document.write( "wind  	speed	25	mph														<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "against	wind  	x-	25	mph													<BR>\n" );
document.write( "with	wind  	x+	25	mph													<BR>\n" );
document.write( "																<BR>\n" );
document.write( "Distance=	150	miles															<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "Time against + time with  =			2	hours													<BR>\n" );
document.write( "t=d/r																	<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "150	/(	x   	+	25	)	+	150	/(x	-	25	)	=	2				<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "LCD =	(x	-	25	)	(	x   	+	25	)								<BR>\n" );
document.write( "150	*(	x   	-	25	)	+	150	(x	+	25	)	=	2	(x^2	-	625	)<BR>\n" );
document.write( "150	x   	-	-3750	+	150	x   	+	3750		=	2	(	x ^2		-	625	)<BR>\n" );
document.write( "300	x   	=	2	x ^2		-1250											<BR>\n" );
document.write( "2	x ^2	-	-300	x   	-	1250	=	0									<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "Find the roots of the equation by quadratic formula																	<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "a=	2	,	b=	-300	,	c=	1250										<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "b^2-4ac=	90000	+	-10000														<BR>\n" );
document.write( "b^2-4ac=	80000																<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%09sqrt%28%0980000%09%29=%09282.84%09 ALIGN=MIDDLE  ALT=\"%09sqrt%28%0980000%09%29=%09282.84%09\"   DISABLED_style= \"max-width:90%; height:auto;\" >												<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >																	<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >																	<BR>\n" );
document.write( "x1=(	300	+	282.84	)/	4												<BR>\n" );
document.write( "x1=	145.71																<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >																	<BR>\n" );
document.write( "x2=(	300	-282.84	) /	4													<BR>\n" );
document.write( "x2=	4.29																<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "Plane	speed	145.7	mph														<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "m.ananth@hotmail.ca																	<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );