document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=154274>Question 154274</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A plane leaves Denver heading due north at 500 mph. Simultaneously, another<BR>\n" );
document.write( "plane leaves Denver traveling due east at 1200 mph. After how many minutes<BR>\n" );
document.write( "will the planes be 650 miles apart? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113581 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=113581\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A plane leaves Denver heading due north at 500 mph. Simultaneously, another<BR>\n" );
document.write( "plane leaves Denver traveling due east at 1200 mph. After how many minutes<BR>\n" );
document.write( "will the planes be 650 miles apart?<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Draw the picture on a coordinate system; use the y-axis for north<BR>\n" );
document.write( "and the x-axis for east.<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Let the time in hours be \"x\" for both planes<BR>\n" );
document.write( "North distance = 500x miles<BR>\n" );
document.write( "East distance = 1200x miles<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Use Pytagoras with a hypotenuse of 650 miles.<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "(500x)^2 + (1200x)^2 = 650^2<BR>\n" );
document.write( "250000x^2 + 1440000x^2 = 650^2<BR>\n" );
document.write( "1690000x^2 = 650^2<BR>\n" );
document.write( "x^2 = 0.25<BR>\n" );
document.write( "x = 0.5 hours<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Time = 30 minutes<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );