document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=914015>Question 914015</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two planes start from the same airport at the same time. One plane heads North at a speed 50 miles faster than the other plane that heads East. After 3 hours they are 2440 miles apart. What is the speed of each plane? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #554852 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=554852\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Weird one\r<BR>\n" );
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document.write( "let east bound plane speed =x<BR>\n" );
document.write( "north bound plane speed = (x+50)\r<BR>\n" );
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document.write( "After 3 hours they have flown at right angles to each othe a distance of 3x &<BR>\n" );
document.write( " 3(x+50) miles\r<BR>\n" );
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document.write( "At any given time they form a right triangle with the origin\r<BR>\n" );
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document.write( "(3(x))^2+(3(x+50))^2 = (2440)^2\r<BR>\n" );
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document.write( "/9\r<BR>\n" );
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document.write( "(x))^2+(x+50)^2 = (2440)^2/9\r<BR>\n" );
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document.write( "x^2+x^2+100x+2500= 661511.11\r<BR>\n" );
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document.write( "2x^2+100x-659011.11=0\r<BR>\n" );
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document.write( "solve by formula method\r<BR>\n" );
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document.write( "to get the value of  x\r<BR>\n" );
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document.write( "Find the roots of the equation by quadratic formula							<BR>\n" );
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document.write( "a=	2	,b=	100	,c=	-659011.11		<BR>\n" );
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document.write( "b^2-4ac=	10000	-	-5272088.89				<BR>\n" );
document.write( "b^2-4ac=	5282088.89		<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28b%5E2-4ac%29=%09%09%092298.28%09%0D%0A%7B%7B%7Bx=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE   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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%28-12%2B21%29%2F%2812%29 ALIGN=MIDDLE  ALT=\"x1=%28-12%2B21%29%2F%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >							<BR>\n" );
document.write( "x1=(	2198.28			)/	4		<BR>\n" );
document.write( "x1=	549.57	ft					<BR>\n" );
document.write( "x2=(	-100	-2298.28	) /	4			<BR>\n" );
document.write( "x2=	-599.57						<BR>\n" );
document.write( "Ignore negative value							\r<BR>\n" );
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document.write( "Round off\r<BR>\n" );
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document.write( "x= 550 plane I\r<BR>\n" );
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document.write( "600 = plane II\r<BR>\n" );
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document.write( " </SPAN>\n" );
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