document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107174>Question 107174</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me formulate an equation for the following homework problem? It did not come from a book.  Thanks<BR>\n" );
document.write( "Two friends live 15 miles apart.  One day, they decide to jog and meet each other.  Tanya leaves her house and heads east, jogging at a rate of 2.5 mph.  At the same time Kelly leaves her house and heads west, jogging at 3.5 mph.  How long does it take for the two to meet?<BR>\n" );
document.write( "15= 2.5x  for Tanya and<BR>\n" );
document.write( "15= 3.5 x for Kelly?  This can't be right, as I can only have one x.  Please help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77989 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=77989\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two friends live 15 miles apart. One day, they decide to jog and meet each other. Tanya leaves her house and heads east, jogging at a rate of 2.5 mph. At the same time Kelly leaves her house and heads west, jogging at 3.5 mph. How long does it take for the two to meet?<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "They are jogging toward one another so neither needs to jog 15 miles.<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Tanya DATA:<BR>\n" );
document.write( "Rate = 2.5 mph; distance = x miles; time = d/r = x/2.5 hrs<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Kelly DATA:<BR>\n" );
document.write( "Rate = 3.5 mph; distance = \"15-x\" miles ; time = (15-x)/3.5 hrs\r<BR>\n" );
document.write( "\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Tanya time = Kelly time<BR>\n" );
document.write( "x/2.5 = (15-x)/3.5<BR>\n" );
document.write( "3.5x = 37.5-2.5x<BR>\n" );
document.write( "6x = 37.5<BR>\n" );
document.write( "x = 6.25 miles<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Tanya time = x/2.5 = 6.25/2.5 = 2.5 hrs<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Kelly time = (15-x)/3.5 = 8.75/3.5 = 2.5 hrs<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );