document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=238505>Question 238505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car and bus set out at the same time. The average speed of the car is 30mph slower than twice the spped of the bus. In two hours, the car is 20 miles ahead of the bus. What is the rate of the car? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #175248 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=175248\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I can write 2 equations, 1 for each vehicle<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bc%5D+=+r%5Bc%5D%2At%5Bc%5D ALIGN=MIDDLE  ALT=\"d%5Bc%5D+=+r%5Bc%5D%2At%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+=+r%5Bb%5D%2At%5Bb%5D ALIGN=MIDDLE  ALT=\"d%5Bb%5D+=+r%5Bb%5D%2At%5Bb%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bc%5D+=+2r%5Bb%5D+-+30 ALIGN=MIDDLE  ALT=\"r%5Bc%5D+=+2r%5Bb%5D+-+30\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bc%5D+=+2 ALIGN=MIDDLE  ALT=\"t%5Bc%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bb%5D+=+2 ALIGN=MIDDLE  ALT=\"t%5Bb%5D+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bc%5D+=+d%5Bb%5D+%2B+20 ALIGN=MIDDLE  ALT=\"d%5Bc%5D+=+d%5Bb%5D+%2B+20\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Now I plug in the substitutions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bc%5D+=+r%5Bc%5D%2At%5Bc%5D ALIGN=MIDDLE  ALT=\"d%5Bc%5D+=+r%5Bc%5D%2At%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+%2B+20+=+%282r%5Bb%5D+-+30%29%2A2 ALIGN=MIDDLE  ALT=\"d%5Bb%5D+%2B+20+=+%282r%5Bb%5D+-+30%29%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+%2B+20+=+4r%5Bb%5D+-+60 ALIGN=MIDDLE  ALT=\"d%5Bb%5D+%2B+20+=+4r%5Bb%5D+-+60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+r%5Bb%5D+-+d%5Bb%5D+=+80 ALIGN=MIDDLE  ALT=\"4+r%5Bb%5D+-+d%5Bb%5D+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+=+r%5Bb%5D%2At%5Bb%5D ALIGN=MIDDLE  ALT=\"d%5Bb%5D+=+r%5Bb%5D%2At%5Bb%5D\"   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%5Bb%5D+=+2r%5Bb%5D ALIGN=MIDDLE  ALT=\"d%5Bb%5D+=+2r%5Bb%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (2) in (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+r%5Bb%5D+-+2r%5Bb%5D+=+80 ALIGN=MIDDLE  ALT=\"4+r%5Bb%5D+-+2r%5Bb%5D+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2r%5Bb%5D+=+80 ALIGN=MIDDLE  ALT=\"2r%5Bb%5D+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bb%5D+=+40 ALIGN=MIDDLE  ALT=\"r%5Bb%5D+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bc%5D+=+2r%5Bb%5D+-+30 ALIGN=MIDDLE  ALT=\"r%5Bc%5D+=+2r%5Bb%5D+-+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bc%5D+=+2%2A40+-+30 ALIGN=MIDDLE  ALT=\"r%5Bc%5D+=+2%2A40+-+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bc%5D+=+50 ALIGN=MIDDLE  ALT=\"r%5Bc%5D+=+50\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "The rate of the car is 50 mi/hr<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+%2B+20+=+%282r%5Bb%5D+-+30%29%2A2 ALIGN=MIDDLE  ALT=\"d%5Bb%5D+%2B+20+=+%282r%5Bb%5D+-+30%29%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+%2B+20+=+%282%2A40+-+30%29%2A2 ALIGN=MIDDLE  ALT=\"d%5Bb%5D+%2B+20+=+%282%2A40+-+30%29%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+=+%2880+-+30%29%2A2+-+20 ALIGN=MIDDLE  ALT=\"d%5Bb%5D+=+%2880+-+30%29%2A2+-+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+=+100+-+20 ALIGN=MIDDLE  ALT=\"d%5Bb%5D+=+100+-+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bb%5D+=+80 ALIGN=MIDDLE  ALT=\"d%5Bb%5D+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bc%5D+=+r%5Bc%5D%2At%5Bc%5D ALIGN=MIDDLE  ALT=\"d%5Bc%5D+=+r%5Bc%5D%2At%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bc%5D+=+50%2A2 ALIGN=MIDDLE  ALT=\"d%5Bc%5D+=+50%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bc%5D+=+100 ALIGN=MIDDLE  ALT=\"d%5Bc%5D+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In 2 hours, the car is 20 mi ahead of the bus<BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );