document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=951797>Question 951797</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three friends Smith, Jack and Pamila are walking at the speed of 3, 4, 5 km/h respectively. They start from same place at 1pm, 2pm and 3pm respectively. When Jack reaches Smith, he sends him back with a message for Pamila. At what time will Pramila get the message. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #581294 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=581294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From 1 PM to 2 PM is 1 hr<BR>\n" );
document.write( "Smith travels:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+3%2A1+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+3%2A1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B1%5D+=+3+ ALIGN=MIDDLE  ALT=\"+d%5B1%5D+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "I start a stopwatch when Jack leaves,<BR>\n" );
document.write( "and stop it when Jack catches Smith,<BR>\n" );
document.write( "Let <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;\" > = distance Jack travels<BR>\n" );
document.write( "until Jack catches Smith<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B2%5D+ ALIGN=MIDDLE  ALT=\"+t%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time in hrs for<BR>\n" );
document.write( "Jack to catch Smith<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Smith's equation:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B2%5D+-+3+=+3t%5B2%5D+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+-+3+=+3t%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Jack's equation:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B2%5D+=+4t%5B2%5D+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+4t%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Substitute (2) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4t%5B2%5D+-+3+=+3t%5B2%5D+ ALIGN=MIDDLE  ALT=\"+4t%5B2%5D+-+3+=+3t%5B2%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B2%5D+=+3+ ALIGN=MIDDLE  ALT=\"+t%5B2%5D+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B2%5D+=+4t%5B2%5D+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+4t%5B2%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%5B2%5D+=+4%2A3+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+4%2A3+\"   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%5B2%5D+=+12+ ALIGN=MIDDLE  ALT=\"+d%5B2%5D+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+%2B+3+=+4+ ALIGN=MIDDLE  ALT=\"+1+%2B+3+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs have passed<BR>\n" );
document.write( "since 1 PM<BR>\n" );
document.write( "That means Pamela left 1 hr ago<BR>\n" );
document.write( "at 3 PM<BR>\n" );
document.write( "In <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+ ALIGN=MIDDLE  ALT=\"+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hr, she travels:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B3%5D+=+5%2A1+ ALIGN=MIDDLE  ALT=\"+d%5B3%5D+=+5%2A1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B3%5D+=+5+ ALIGN=MIDDLE  ALT=\"+d%5B3%5D+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "That means she is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+12+-+5+=+7+ ALIGN=MIDDLE  ALT=\"+12+-+5+=+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
document.write( "behind Smith when Smith turns around<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B4%5D+ ALIGN=MIDDLE  ALT=\"+d%5B4%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = distance Smith travels until they meet<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B4%5D+ ALIGN=MIDDLE  ALT=\"+t%5B4%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time in hrs until they meet<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "Smith's equation:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d%5B4%5D+=+3t%5B4%5D+ ALIGN=MIDDLE  ALT=\"+d%5B4%5D+=+3t%5B4%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Pamela's equation:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7+-+d%5B4%5D+=+5t%5B4%5D+ ALIGN=MIDDLE  ALT=\"+7+-+d%5B4%5D+=+5t%5B4%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Substitute (1) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7+-+3t%5B4%5D+=+5t%5B4%5D+ ALIGN=MIDDLE  ALT=\"+7+-+3t%5B4%5D+=+5t%5B4%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=+8t%5B4%5D+=+7+ ALIGN=MIDDLE  ALT=\"+8t%5B4%5D+=+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5B4%5D+=+7%2F8+ ALIGN=MIDDLE  ALT=\"+t%5B4%5D+=+7%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Add the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+ ALIGN=MIDDLE  ALT=\"+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs since Smith left<BR>\n" );
document.write( "to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7%2F8+ ALIGN=MIDDLE  ALT=\"+7%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs  until they meet<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%287%2F8%29%2A60+=+52.5+ ALIGN=MIDDLE  ALT=\"+%287%2F8%29%2A60+=+52.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1 PM + 4 hrs 52.5 min =<BR>\n" );
document.write( "52 min 30 sec after 5 PM is the time<BR>\n" );
document.write( "when Pamela gets the message<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Hope I got it!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );