document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=381491>Question 381491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2 cars leave the same corner at the same time, traveling at right angles to each other.  One car is traveling 3 km per hour faster than the other car.  After 1 hour they are 15 km apart.  How fast is each car traveling? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #270571 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=270571\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let speed of one car be x kmph<BR>\n" );
document.write( "other car = x+3 kmph<BR>\n" );
document.write( "...<BR>\n" );
document.write( "distance traveled by first car in1 hour = x km<BR>\n" );
document.write( "distance traveled by other car = x+3 km<BR>\n" );
document.write( "..<BR>\n" );
document.write( "they are at distance of 15 km<BR>\n" );
document.write( "..<BR>\n" );
document.write( "apply pythagoras theorem<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x^2+(x+3)^=15^2<BR>\n" );
document.write( "x^2+x^2+6x+9=225<BR>\n" );
document.write( "2x^2+6x-216=0<BR>\n" );
document.write( "/2<BR>\n" );
document.write( "x^2+3x-108=0<BR>\n" );
document.write( "x^2+12x-9x-108=0<BR>\n" );
document.write( "x(x+12)-9(x+12)=0<BR>\n" );
document.write( "(x+12)(x-9)=0<BR>\n" );
document.write( "x=9 km /h speed of one car.<BR>\n" );
document.write( "speed of other car = 9+3 = 12 km/h<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );