document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1076497>Question 1076497</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tommy and Zach are starting out at the same position. Tommy runs north at 5 miles per hour and Zach starts to run east 2 hours later at the rate of 8 miles per hour. How long until Tommy and Zach are 16 miles apart? Round to the nearest tenth if necessary. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #691096 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=691096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> They are two legs of a right triangle where the hypotenuse is the distance apart.<BR>\n" );
document.write( "In x hours, Tommy runs 5x miles and Zach runs 8(x-2) miles<BR>\n" );
document.write( "Square both of them and set them equal to 16^2=256<BR>\n" );
document.write( "25x^2+64x^2-256x+256=256<BR>\n" );
document.write( "89x^2-256x=0\r<BR>\n" );
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document.write( "x(89x-256)=0<BR>\n" );
document.write( "x=256/89=2.9 hours ANSWER<BR>\n" );
document.write( "Tommy will be 14.5 miles away and Zach 7.2 miles away<BR>\n" );
document.write( "14.5^2+1.8^2=210.25+51.84=261.09<BR>\n" );
document.write( "sqrt (261.09)=16.16<BR>\n" );
document.write( "if done with 2.876, then the legs are 14.380 and 7.008<BR>\n" );
document.write( "49.112+206.78=255.90 and that sqrt is 15.996.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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