document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=978271>Question 978271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> FLYING SPEED:Two planes leave simultaneously from Chicago's O'Hare Airport, one flying due north and the other due east (see figure).The northbound plane is flying 50 miles per hour faster than the eastbound plane.After 3 hours, the planes are 2440 miles apart.Find the speed of each plane.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #599727 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39621)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=599727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> O'Hare is at the right angle of the right-triangle.\r<BR>\n" );
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document.write( "Northbound, (r+50)*3<BR>\n" );
document.write( "Eastbound, r*3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28r%2B50%29%2A3%29%5E2%2B%28r%2A3%29%5E2=240 ALIGN=MIDDLE  ALT=\"%28%28r%2B50%29%2A3%29%5E2%2B%28r%2A3%29%5E2=240\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28r%5E2%2B100r%2B2500%29%2B9r%5E2=240%5E2 ALIGN=MIDDLE  ALT=\"3%28r%5E2%2B100r%2B2500%29%2B9r%5E2=240%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2%2B100r%2B2500%2B3r%5E2=80%2A240 ALIGN=MIDDLE  ALT=\"r%5E2%2B100r%2B2500%2B3r%5E2=80%2A240\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4r%5E2%2B100r%2B2500-80%2A240=0 ALIGN=MIDDLE  ALT=\"4r%5E2%2B100r%2B2500-80%2A240=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4r%5E2%2B100r-167000=0 ALIGN=MIDDLE  ALT=\"4r%5E2%2B100r-167000=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5E2%2B25r-4175=0 ALIGN=MIDDLE  ALT=\"r%5E2%2B25r-4175=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Not trying to check factorization of 4175,<BR>\n" );
document.write( "using discriminant instead,<BR>\n" );
document.write( "discrim is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%5E2-4%2A%28-4175%29=25%5E2%2B4%2A4175=17325=25%2A693=25%2A9%2A77=25%2A9%2A7%2A11 ALIGN=MIDDLE  ALT=\"25%5E2-4%2A%28-4175%29=25%5E2%2B4%2A4175=17325=25%2A693=25%2A9%2A77=25%2A9%2A7%2A11\"   DISABLED_style= \"max-width:90%; height:auto;\" >;\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=%28-25%2Bsqrt%2825%2A9%2A77%29%29%2F2 ALIGN=MIDDLE  ALT=\"r=%28-25%2Bsqrt%2825%2A9%2A77%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r=%28-25%2B15%2Asqrt%2877%29%29%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28r=%28-25%2B15%2Asqrt%2877%29%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is about 53.3 miles per hour for the east-bound plane. </SPAN>\n" );
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