document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175901>Question 175901</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395343739/algebrahomeworkh>algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Gerry and Tony live 11km apart. Gerry leaves his home at 2 p.m. and bikes toward Tony's home at 25 km/hr. At the same time, Tony leaves his home and bikes toward Gerry's home at 30 km/hr as soon as they reach each other's homes they turn around and start back along the same route. They stop when they meet each other on the ride back to their own homes. How far are they are from Gerry's home when they stop? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131020 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=131020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For  both,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+r%2At ALIGN=MIDDLE  ALT=\"d+=+r%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Each has their own rates, times and distances, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bt%5D+=+r%5Bt%5D%2At%5Bt%5D ALIGN=MIDDLE  ALT=\"d%5Bt%5D+=+r%5Bt%5D%2At%5Bt%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > Tony's equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bg%5D+=+r%5Bg%5D%2At%5Bg%5D ALIGN=MIDDLE  ALT=\"d%5Bg%5D+=+r%5Bg%5D%2At%5Bg%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > Gerry's equation<BR>\n" );
document.write( "Each bikes to the others house and they leave at the same time, so<BR>\n" );
document.write( "For Tony,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bt%5D+=+r%5Bt%5D%2At%5Bt%5D ALIGN=MIDDLE  ALT=\"d%5Bt%5D+=+r%5Bt%5D%2At%5Bt%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11+=+30%2At%5Bt%5D ALIGN=MIDDLE  ALT=\"11+=+30%2At%5Bt%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bt%5D+=+11%2F30 ALIGN=MIDDLE  ALT=\"t%5Bt%5D+=+11%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >hrs<BR>\n" );
document.write( "and, for Gerry,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bg%5D+=+r%5Bg%5D%2At%5Bg%5D ALIGN=MIDDLE  ALT=\"d%5Bg%5D+=+r%5Bg%5D%2At%5Bg%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11+=+25%2At%5Bg%5D ALIGN=MIDDLE  ALT=\"11+=+25%2At%5Bg%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bg%5D+=+11%2F25 ALIGN=MIDDLE  ALT=\"t%5Bg%5D+=+11%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" >hr<BR>\n" );
document.write( "Comparing these, with LCD <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bt%5D+=+55%2F150 ALIGN=MIDDLE  ALT=\"t%5Bt%5D+=+55%2F150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bg%5D+=+66%2F150 ALIGN=MIDDLE  ALT=\"t%5Bg%5D+=+66%2F150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, Tony got to Gerry's house <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F150 ALIGN=MIDDLE  ALT=\"11%2F150\"   DISABLED_style= \"max-width:90%; height:auto;\" >hrs quicker<BR>\n" );
document.write( "than Gerry got to Tony's house.<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Now, they turn around and head back toward eachother.<BR>\n" );
document.write( "If they left at the exact same time, the elapsed<BR>\n" );
document.write( "time for each until they met would be the same<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bt%5D+=+t%5Bg%5D ALIGN=MIDDLE  ALT=\"t%5Bt%5D+=+t%5Bg%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but Tony gets a head start.<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Assume I have a stopwatch and I'm in a helicopter overhead<BR>\n" );
document.write( "so I can see both of them. I'll start the stopwatch when<BR>\n" );
document.write( "Gerry turns around <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F150 ALIGN=MIDDLE  ALT=\"11%2F150\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr after Tony has turned around.<BR>\n" );
document.write( "If Gerry's time to where they meet from Tony's house is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bg%5D ALIGN=MIDDLE  ALT=\"t%5Bg%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "then Tony's time from Gerry's house is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bg%5D+%2B+%2811%2F150%29 ALIGN=MIDDLE  ALT=\"t%5Bg%5D+%2B+%2811%2F150%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Now my equations are<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bt%5D+%2B+d%5Bg%5D+=+11 ALIGN=MIDDLE  ALT=\"d%5Bt%5D+%2B+d%5Bg%5D+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" >km<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bt%5D+=+11+-+d%5Bg%5D ALIGN=MIDDLE  ALT=\"d%5Bt%5D+=+11+-+d%5Bg%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "where these are the distances each travel to where they meet<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bt%5D+=+30%2A%28t%5Bg%5D+%2B+%2811%2F150%29%29 ALIGN=MIDDLE  ALT=\"d%5Bt%5D+=+30%2A%28t%5Bg%5D+%2B+%2811%2F150%29%29\"   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%5Bg%5D+=+25t%5Bg%5D ALIGN=MIDDLE  ALT=\"d%5Bg%5D+=+25t%5Bg%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "rewriting (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11+-+d%5Bg%5D+=+30%2A%28t%5Bg%5D+%2B+%2811%2F150%29%29 ALIGN=MIDDLE  ALT=\"11+-+d%5Bg%5D+=+30%2A%28t%5Bg%5D+%2B+%2811%2F150%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute (2) in (1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11+-+25t%5Bg%5D+=+30t%5Bg%5D+%2B+30%2A%2811%2F150%29 ALIGN=MIDDLE  ALT=\"11+-+25t%5Bg%5D+=+30t%5Bg%5D+%2B+30%2A%2811%2F150%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55t%5Bg%5D+=+11+-+11%2F5 ALIGN=MIDDLE  ALT=\"55t%5Bg%5D+=+11+-+11%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=275t%5Bg%5D+=+55+-+11 ALIGN=MIDDLE  ALT=\"275t%5Bg%5D+=+55+-+11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bg%5D+=+44%2F275 ALIGN=MIDDLE  ALT=\"t%5Bg%5D+=+44%2F275\"   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%5Bg%5D+=+.16 ALIGN=MIDDLE  ALT=\"t%5Bg%5D+=+.16\"   DISABLED_style= \"max-width:90%; height:auto;\" >hrs or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9.6 ALIGN=MIDDLE  ALT=\"9.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > min<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "The distance Tony travels is the distance from Gerry's<BR>\n" );
document.write( "house when they meet<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bt%5D+=+30%2A%28t%5Bg%5D+%2B+%2811%2F150%29%29 ALIGN=MIDDLE  ALT=\"d%5Bt%5D+=+30%2A%28t%5Bg%5D+%2B+%2811%2F150%29%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%5Bt%5D+=+30%2A%28.160+%2B+.0733%29 ALIGN=MIDDLE  ALT=\"d%5Bt%5D+=+30%2A%28.160+%2B+.0733%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%5Bt%5D+=+30%2A.2333 ALIGN=MIDDLE  ALT=\"d%5Bt%5D+=+30%2A.2333\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bt%5D+=+7 ALIGN=MIDDLE  ALT=\"d%5Bt%5D+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >km<BR>\n" );
document.write( "They meet 7 km from Gerry's house<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bg%5D+=+25t%5Bg%5D ALIGN=MIDDLE  ALT=\"d%5Bg%5D+=+25t%5Bg%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%5Bg%5D+=+25%2A.16 ALIGN=MIDDLE  ALT=\"d%5Bg%5D+=+25%2A.16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bg%5D+=+4 ALIGN=MIDDLE  ALT=\"d%5Bg%5D+=+4\"   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%5Bt%5D+%2B+d%5Bg%5D+=+11 ALIGN=MIDDLE  ALT=\"d%5Bt%5D+%2B+d%5Bg%5D+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" >km<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7+%2B+4+=+11 ALIGN=MIDDLE  ALT=\"7+%2B+4+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );