document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=292393>Question 292393</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A person drives to a tennis match at 48mph and returns home at 54mph.  If the total driving time was 17 hours, how far away is the match? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #211205 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=211205\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = driving time to the match<BR>\n" );
document.write( "y = driving time from the match<BR>\n" );
document.write( "x + y = 17<BR>\n" );
document.write( "So x = 17-y and y = 17-x<BR>\n" );
document.write( "Using the distance formula d = rt, we know the rates, but not the times or distances.<BR>\n" );
document.write( "But we know the distance is same both ways (or at least we can assume it is).<BR>\n" );
document.write( "Substituting what we know about the time...<BR>\n" );
document.write( "48x = d<BR>\n" );
document.write( "54(17-x) = d<BR>\n" );
document.write( "So,<BR>\n" );
document.write( "48x = 54(17-x)<BR>\n" );
document.write( "divide both sides be 6<BR>\n" );
document.write( "8x = 9(17-x)<BR>\n" );
document.write( "expand<BR>\n" );
document.write( "8x = 153 - 9x<BR>\n" );
document.write( "add 9x to both sides<BR>\n" );
document.write( "17x = 153<BR>\n" );
document.write( "divide through by 17<BR>\n" );
document.write( "x = 153/17 = 9<BR>\n" );
document.write( "x = 9, which is the time driving to the match<BR>\n" );
document.write( "y = 17-9 = 8, which is the time driving home<BR>\n" );
document.write( ".<BR>\n" );
document.write( "How far away is the match?<BR>\n" );
document.write( "Well, we can use that to check our answer.<BR>\n" );
document.write( "d = 48 miles/hr * 9 hr = 432 miles<BR>\n" );
document.write( "d = 54 miles/hr * 8 hr = 432 miles<BR>\n" );
document.write( "Correct!<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "The match is 432 miles away.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Done. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );