document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=886239>Question 886239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two hikers start walking in opposite directions from the same place at the same time. The hiker heading west is walking 2 kilometers per hour faster than the hiker heading east. If they are 15 kilometers apart after 1.5 hours what is the rate of each hiker? Let x represent the rate of the westbound hiker and let y represent the rate of the eastbound hiker. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #535775 by </B><A HREF=/tutors/aboutme.mpl?userid=JulietG><B>JulietG(1812)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JulietG><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=JulietG><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=535775\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Distance per hour = 15 km/1.5 kmh, or 10 kmh<BR>\n" );
document.write( "X + Y = 10<BR>\n" );
document.write( "Y = X + 2 (he is slower by 2)<BR>\n" );
document.write( "Substitute the known value of Y from the second equation into the first.<BR>\n" );
document.write( "X + Y = 10<BR>\n" );
document.write( "X + (X+2) = 10<BR>\n" );
document.write( "2X + 2 = 10<BR>\n" );
document.write( "2X = 8<BR>\n" );
document.write( "X = 4<BR>\n" );
document.write( "The slower hiker is traveling 4kmh.  Therefore the faster hiker is traveling 6khm.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Prove it:<BR>\n" );
document.write( "Hiker X travels 4 * 1.5 hours, or 6 km<BR>\n" );
document.write( "Hiker Y travels 6 * 1.5, or 9 km<BR>\n" );
document.write( "6 + 9 = 15 km in 1.5 hours<BR>\n" );
document.write( "Success! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );