document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30904>Question 30904</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cars start together and travel in the same direction, one going twice as fast as the other.  At the end of 3 hours, they are 96 miles apart.  How fast is each car traveling? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17652 by </B><A HREF=/tutors/aboutme.mpl?userid=aussie7us><B>aussie7us(3)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=aussie7us><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=17652\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This can be solved algebrically. You have two equations.<BR>\n" );
document.write( "1- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X=Y ALIGN=MIDDLE  ALT=\"2X=Y\"   DISABLED_style= \"max-width:90%; height:auto;\" > where x is the speed of the first car, and y is the speed of the second (faster) car.<BR>\n" );
document.write( "2- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B3y=96 ALIGN=MIDDLE  ALT=\"3x%2B3y=96\"   DISABLED_style= \"max-width:90%; height:auto;\" > 96 is their distance away from each other, and the 3's stand for the hours. car X has traveled for three hours, and so has car Y.<BR>\n" );
document.write( " Next work out the equation. You can use substitution.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x%2B3%282Y%29=96 ALIGN=MIDDLE  ALT=\"+3x%2B3%282Y%29=96\"   DISABLED_style= \"max-width:90%; height:auto;\" > distribute<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B6x=96 ALIGN=MIDDLE  ALT=\"3x%2B6x=96\"   DISABLED_style= \"max-width:90%; height:auto;\" > add like terms<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x=96 ALIGN=MIDDLE  ALT=\"9x=96\"   DISABLED_style= \"max-width:90%; height:auto;\" > divide both sides by 9 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%2F9=96%2F9 ALIGN=MIDDLE  ALT=\"9x%2F9=96%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10%2B2%2F3 ALIGN=MIDDLE  ALT=\"x=10%2B2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > so car x (slow car) is traveling at 10 and 2/3 miles an hour.<BR>\n" );
document.write( "Now, plug the X value into equation 1 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X=Y ALIGN=MIDDLE  ALT=\"2X=Y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The fast car is travelling at 21 and 1/3 miles an hour.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=10%2B2%2F3 ALIGN=MIDDLE  ALT=\"Y=10%2B2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " You can also check your answer.  Plug in both numbers into equation 2. You get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2810%2B2%2F3%29%2A+%2821%2B1%2F3%29=96%29 ALIGN=MIDDLE  ALT=\"3%2810%2B2%2F3%29%2A+%2821%2B1%2F3%29=96%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > if this equation is true, then your answers are correct.<BR>\n" );
document.write( "(it  is true)<BR>\n" );
document.write( "HOPE THIS HELPS! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );