document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256189>Question 256189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bus traveling at an average rate of 30 miles per hour left the city at 10:00 am. A car left 2 hours later, following the bus at 45 miles per hour. How many hours until they are both the same distance from the city? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188405 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=188405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> d=rt<BR>\n" );
document.write( "d=30t for the bus.<BR>\n" );
document.write( "d=45(t-2) for the car.<BR>\n" );
document.write( "Set the distances equal.<BR>\n" );
document.write( "30t=45(t-2)<BR>\n" );
document.write( "30t=45t-90<BR>\n" );
document.write( "30t-45t=-90<BR>\n" );
document.write( "-15t=-90<BR>\n" );
document.write( "t=-90/-15<BR>\n" );
document.write( "t=6 hours after the bus leaves they will be the same distance from the city.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "30*6=45(6-2)<BR>\n" );
document.write( "180=45*4<BR>\n" );
document.write( "180=180 miles from the city after 6 hours.  </SPAN>\n" );
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