document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=950470>Question 950470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kathryn and Tiana both leave the study group at the same time, but in opposite directions. If Tiana travels 9 mph faster than Kathryn and after 3 hours they are 117 miles apart, how fast is each traveling?\r<BR>\n" );
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document.write( "Kathryn is traveling_mph?\r<BR>\n" );
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document.write( "Tiana is traveling_mph? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #580405 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=580405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Kathryn and Tiana both leave the study group at the same time, but in opposite directions. If Tiana travels 9 mph faster than Kathryn and after 3 hours they are 117 miles apart, how fast is each traveling?<BR>\n" );
document.write( "K=Kathryn's rate; T=Tiana's rate=K+9mph;<BR>\n" );
document.write( "117/3 hrs==39 mi/hr Their combined rate is 39 mph.<BR>\n" );
document.write( "K+T=39mph Substitute for T.<BR>\n" );
document.write( "K+K+9mph=39mph Subtract 9 mph from each side. <BR>\n" );
document.write( "2K=30mph Divide each side by 2.<BR>\n" );
document.write( "K=15 mph ANSWER 1: Kathryn's speed was 15 mph.<BR>\n" );
document.write( "T=K+9mph=24 mph ANSWER 2:Tiana's speed was 24 mph.\r<BR>\n" );
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