document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1092569>Question 1092569</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bus station runs a shuttle service to and from the airport. A shuttle that left the station traveling at 21 miles per hour is passed by a second shuttle that left 30 minutes later traveling at a rate of 27 miles per hour. How far did the first shuttle travel before it was passed by the second shuttle?<BR>\n" );
document.write( "If the answer is not an integer, enter it as an exact decimal.<BR>\n" );
document.write( "The shuttle traveled.... miles before it was passed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #707177 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=707177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How much of a head start in miles did the <BR>\n" );
document.write( "1st shuttle get before the 2nd shuttle left?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+21%2A%281%2F2%29+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+21%2A%281%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+10.5+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+10.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Start a stopwatch when the 2nd shuttle leaves.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time in hrs on the stop watch <BR>\n" );
document.write( "when the 2nd shuttle catch up with the 1st<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+ ALIGN=MIDDLE  ALT=\"+d+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = distance in miles the 2nd<BR>\n" );
document.write( "shuttle travels until it catches up with the 1st<BR>\n" );
document.write( "----------------------------------------------<BR>\n" );
document.write( "Equation for 1st shuttle:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+-+10.5+=+21t+ ALIGN=MIDDLE  ALT=\"+d+-+10.5+=+21t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Equation for 2nd shuttle:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+27t+ ALIGN=MIDDLE  ALT=\"+d+=+27t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Plug (2) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+27t+-+10.5+=+21t+ ALIGN=MIDDLE  ALT=\"+27t+-+10.5+=+21t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6t+=+10.5+ ALIGN=MIDDLE  ALT=\"+6t+=+10.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+1.75+ ALIGN=MIDDLE  ALT=\"+t+=+1.75+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+27%2A1.75+ ALIGN=MIDDLE  ALT=\"+d+=+27%2A1.75+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+47.25+ ALIGN=MIDDLE  ALT=\"+d+=+47.25+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "The 1st shuttle traveled 47.25 mi before it was passed<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+-+10.5+=+21%2A1.75+ ALIGN=MIDDLE  ALT=\"+d+-+10.5+=+21%2A1.75+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+-+10.5+=+36.75+ ALIGN=MIDDLE  ALT=\"+d+-+10.5+=+36.75+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+47.25+ ALIGN=MIDDLE  ALT=\"+d+=+47.25+\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "OK<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );