document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=227082>Question 227082</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A car leaves a town traveling at 40 miles per hour. Two hours later a second car leaves traveling the same route and overtakes the first car in 5 hours. How fast was the second traveling? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #168841 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=168841\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume I have a stopwatch, and I start it<BR>\n" );
document.write( "when the 2nd car leaves<BR>\n" );
document.write( "How far has the 1st car gone when I start<BR>\n" );
document.write( "the stopwatch?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2A2+=+80 ALIGN=MIDDLE  ALT=\"40%2A2+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "The key to the problem is that, after the <BR>\n" );
document.write( "stopwatch starts, both cars will travel<BR>\n" );
document.write( "for the same amount of time<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 2nd car must go to<BR>\n" );
document.write( "catch 1st car in mi<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" > = speed of 2nd car in mi/hr<BR>\n" );
document.write( "For 1st car:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+-+80+=+40%2A5 ALIGN=MIDDLE  ALT=\"d+-+80+=+40%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For 2nd car:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+s%2A5 ALIGN=MIDDLE  ALT=\"d+=+s%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is 2 equations and 2 unknowns, so it's solvable\r<BR>\n" );
document.write( "\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+-+80+=+40%2A5 ALIGN=MIDDLE  ALT=\"d+-+80+=+40%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+80+%2B+200 ALIGN=MIDDLE  ALT=\"d+=+80+%2B+200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+280 ALIGN=MIDDLE  ALT=\"d+=+280\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "And, substituting,<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+s%2A5 ALIGN=MIDDLE  ALT=\"d+=+s%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=280+=+5s ALIGN=MIDDLE  ALT=\"280+=+5s\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+56 ALIGN=MIDDLE  ALT=\"s+=+56\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The speed of the 2nd car was 56 mi/hr\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );