document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=747824>Question 747824</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I can't understand the answer as explained in the link below. \r<BR>\n" );
document.write( "\n" );
document.write( "http://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.477023.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Can you kindly help me?<BR>\n" );
document.write( "Thanks,<BR>\n" );
document.write( "Moazzam </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852554 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13223)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=852554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Perhaps the solution is easier to understand if we work with the fraction of each candle that remains after a certain number of hours, instead of the length of each candle.<br><BR>\n" );
document.write( "First candle:<BR>\n" );
document.write( "burns completely in 5 hours<BR>\n" );
document.write( "fraction of the candle that burns each hour: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F5 ALIGN=MIDDLE  ALT=\"1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "fraction of the candle that burns in t hours: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F5%29t ALIGN=MIDDLE  ALT=\"%281%2F5%29t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "fraction of the candle that remains after t hours: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-%281%2F5%29t ALIGN=MIDDLE  ALT=\"1-%281%2F5%29t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Second candle:<BR>\n" );
document.write( "burns completely in 4 hours<BR>\n" );
document.write( "fraction of the candle that burns each hour: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "fraction of the candle that burns in t hours: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29t ALIGN=MIDDLE  ALT=\"%281%2F4%29t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "fraction of the candle that remains after t hours: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-%281%2F4%29t ALIGN=MIDDLE  ALT=\"1-%281%2F4%29t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Since the candles are the same length, the first candle is 4 times as long as the second when the fraction of the first candle that remains is 4 times the fraction of the second candle that remains:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-%281%2F5%29t=4%281-%281%2F4%29t%29 ALIGN=MIDDLE  ALT=\"1-%281%2F5%29t=4%281-%281%2F4%29t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-%281%2F5%29t=4-t ALIGN=MIDDLE  ALT=\"1-%281%2F5%29t=4-t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F5%29t=3 ALIGN=MIDDLE  ALT=\"%284%2F5%29t=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=15%2F4 ALIGN=MIDDLE  ALT=\"t=15%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: the length of the first candle is 4 times the length of the second candle after 15/4 hours, or 3 3/4 hours, or 3 hours and 45 minutes.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );