document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=342187>Question 342187</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a new home 86 miles away. The movers left 12 minutes ago are traveling 50miles per hour I am leaving my house now and plan to drive 65 miles per hour. I want to reach the house before the movers, which means that I will pass them on the road. Create a system of equations to show the distance of the movers at any given time </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #244899 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=244899\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume I have a stopwatch which I will start <BR>\n" );
document.write( "when I leave house 12 min after movers.<BR>\n" );
document.write( "My equation of motion is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+65t ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+65t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The equation for the movers is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+50%2A%28t+%2B+12%2F60%29 ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+50%2A%28t+%2B+12%2F60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note that at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=0 ALIGN=MIDDLE  ALT=\"t=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > when the stopwatch starts<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=0 ALIGN=MIDDLE  ALT=\"d=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > for me, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=10 ALIGN=MIDDLE  ALT=\"d=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > for movers<BR>\n" );
document.write( "To find the time on stopwatch when I pass the movers,<BR>\n" );
document.write( "set my <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D ALIGN=MIDDLE  ALT=\"d%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > equal to their <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D ALIGN=MIDDLE  ALT=\"d%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=65t+=+50%2A%28t+%2B+1%2F5%29 ALIGN=MIDDLE  ALT=\"65t+=+50%2A%28t+%2B+1%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=65t+=+50t+%2B+10 ALIGN=MIDDLE  ALT=\"65t+=+50t+%2B+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15t+=+10 ALIGN=MIDDLE  ALT=\"15t+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+2%2F3 ALIGN=MIDDLE  ALT=\"t+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+%282%2F3%29%2A60 ALIGN=MIDDLE  ALT=\"t+=+%282%2F3%29%2A60\"   DISABLED_style= \"max-width:90%; height:auto;\" > min<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+40 ALIGN=MIDDLE  ALT=\"t+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" > min (time on stopwatch when I pass movers)<BR>\n" );
document.write( "Here's a plot of the 2 equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-1%2C+2%2C+-10%2C+100%2C+65x%2C+50x+%2B+10%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-1%2C+2%2C+-10%2C+100%2C+65x%2C+50x+%2B+10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B1%5D+=+86 ALIGN=MIDDLE  ALT=\"d%5B1%5D+=+86\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+86%2F65 ALIGN=MIDDLE  ALT=\"t+=+86%2F65\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+1.323 ALIGN=MIDDLE  ALT=\"t+=+1.323\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5B2%5D+=+50%2A%281.323+%2B+.2%29 ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+50%2A%281.323+%2B+.2%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%5B2%5D+=+76.15 ALIGN=MIDDLE  ALT=\"d%5B2%5D+=+76.15\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=86+-+76.15+=+9.85 ALIGN=MIDDLE  ALT=\"86+-+76.15+=+9.85\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi<BR>\n" );
document.write( "This is how far behind the mover is when I reach house </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );