document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=345414>Question 345414</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cars leave Cedar Lake, Indiana, at the same time, one heading due north, and the other one heading due east. After a few hours, they are 170 miles apart. The car traveling north had traveled 70 miles farther than the car traveling east.<BR>\n" );
document.write( "(How far has each car traveled?) Hint: use pythagorean formula </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #247031 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=247031\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let east bound car travel x<BR>\n" );
document.write( "north bound car travels x+70 in the same time.<BR>\n" );
document.write( "the distance between cars = 170 miles <BR>\n" );
document.write( "....<BR>\n" );
document.write( "x^2+(x+70)^2= 170^2<BR>\n" );
document.write( "x^2+140x+4900 = 28900<BR>\n" );
document.write( "x^2+140x+4900-28900 =0<BR>\n" );
document.write( "x^2+140x-24000 = 0<BR>\n" );
document.write( "x^2+240x-100x-24000=0<BR>\n" );
document.write( "x(x+240)-100(x+240)=0<BR>\n" );
document.write( "(x+240)(x-100)=0<BR>\n" );
document.write( "x=100 OR x = -240. Ignore negative value.<BR>\n" );
document.write( "east bound car has traveled 100 miles<BR>\n" );
document.write( "north bound has traveled x+70 = 100+70 170 miles. </SPAN>\n" );
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