document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=365901>Question 365901</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Two cars leave an intersection.  One car travels north; the other travels east.<BR>\n" );
document.write( "         When the car traveling north had gone 24 miles, the distance between the cars<BR>\n" );
document.write( "         was four miles more than three times the distance traveled by the car heading<BR>\n" );
document.write( "         east.  Find the distance between the cars at that time. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #260768 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=260768\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two cars leave an intersection.  One car travels north; the other travels east.<BR>\n" );
document.write( "         When the car traveling north had gone 24 miles, the distance between the cars<BR>\n" );
document.write( "         was four miles more than three times the distance traveled by the car heading<BR>\n" );
document.write( "         east.  Find the distance between the cars at that time.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "let distance of car going east be x<BR>\n" );
document.write( "by then car going north has traveled 24 miles<BR>\n" );
document.write( "..<BR>\n" );
document.write( "3x-4 is the distance between the two cars.<BR>\n" );
document.write( "they form a right angle with the intersection point<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(3x-4)^2=x^2+24^2<BR>\n" );
document.write( "9x^2-24x+16=x^2+576<BR>\n" );
document.write( "9x^2-x^2-24x-576+16=0<BR>\n" );
document.write( "8x^2-24x-560=0<BR>\n" );
document.write( "/4<BR>\n" );
document.write( "2x^2-6x-140=0 <BR>\n" );
document.write( "2x^2-20x+14x-140=0<BR>\n" );
document.write( "2x(x-10)+14(x-10)=0<BR>\n" );
document.write( "(2x+14)(x-10)=0<BR>\n" );
document.write( "x= 10 miles<BR>\n" );
document.write( "..<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );