document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=998581>Question 998581</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two person 27 kilometers apart start at the same time are together in 9 hours if they walk in the same direction but 3 hours if they walk in the opposite directions find out the rate of walking of each ?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #616369 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=616369\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  two person 27 kilometers apart start at the same time are together in 9 hours  if they walk in the same direction<BR>\n" );
document.write( " but 3 hours if they walk in the opposite directions<BR>\n" );
document.write( " find out the rate of walking of each ?<BR>\n" );
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document.write( "let a = the walking rate of the 1st person which is the fastest walker<BR>\n" );
document.write( "let b = the walking rate of the 2nd person<BR>\n" );
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document.write( "Write a distance equation for each scenario<BR>\n" );
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document.write( "9(a - b) = 27; walking the same direction<BR>\n" );
document.write( "3(a + b) = 27; walking in opposite directions<BR>\n" );
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document.write( "We can simplify both equations, divide the 1st eq by 9, the 2nd eq by 3:<BR>\n" );
document.write( "a - b = 3 <BR>\n" );
document.write( "a + b = 9<BR>\n" );
document.write( "-------------Adding eliminates b , find a<BR>\n" );
document.write( "2a = 12<BR>\n" );
document.write( "a = 12/2<BR>\n" );
document.write( "a = 6 km/hr, 1st person's rate<BR>\n" );
document.write( "then<BR>\n" );
document.write( "6 + b = 9<BR>\n" );
document.write( "b = 3 km/hr, 2nd person's rate<BR>\n" );
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document.write( "you can confirm these solutions in the both original equations </SPAN>\n" );
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