document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=408976>Question 408976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One candle will burn up completely in 4 hours, while a second candle of equal length requires 5 hours to burn up completely. If the candles are lit at the same time, how long will they burn before one is exactly three times as long as the other? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #288038 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=288038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One candle will burn up completely in 4 hours, while a second candle of equal<BR>\n" );
document.write( " length requires 5 hours to burn up completely.<BR>\n" );
document.write( " If the candles are lit at the same time, how long will they burn before one is<BR>\n" );
document.write( " exactly three times as long as the other?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Assign a value to the length of the candles, 20\"<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F4 ALIGN=MIDDLE  ALT=\"20%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5 in/hr burn rate of candle 1<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F5 ALIGN=MIDDLE  ALT=\"20%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4 in/hr burn rate of candle 2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let t = time for candle 2 to be 3 times candle 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Candle 2 = 3 times candle 1<BR>\n" );
document.write( "(20 - 4t) = 3(20 - 5t)<BR>\n" );
document.write( "20 - 4t = 60 - 15t<BR>\n" );
document.write( "-4t + 15t = 60 - 20<BR>\n" );
document.write( "11t = 40<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F11 ALIGN=MIDDLE  ALT=\"40%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 3<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F11 ALIGN=MIDDLE  ALT=\"7%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs; 3 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F11 ALIGN=MIDDLE  ALT=\"7%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >*60 = 38.2 min<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3 hrs 38.2 min, Candle 2 will be three times the length of candle 1<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );