document.write( "Question 1065529: two candles of equal length are lit at the same time. one candle takes 6 hours to burn out and the other takes 3 hours. After how much time will the slower burning candle be exactly twice as long as the faster burning one?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #680690 by ikleyn(52790)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "two candles of equal length are lit at the same time. one candle takes 6 hours to burn out and the other takes 3 hours.
\n" ); document.write( "After how much time will the slower burning candle be exactly twice as long as the faster burning one?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Faster candle rate of burning is \"L%2F3\" of its length per hour.\r\n" );
document.write( "\r\n" );
document.write( "Slower candle rate of burning is \"L%2F6\" of its length per hour.\r\n" );
document.write( "\r\n" );
document.write( "The length of the remaining part for the faster candle is \"L+-+%28L%2F3%29%2At\" after t hours.\r\n" );
document.write( "\r\n" );
document.write( "The length of the remaining part for the slower candle is \"L+-+%28L%2F6%29%2At\" after t hours.\r\n" );
document.write( "\r\n" );
document.write( "The question asks about time t when Slower(t) = 2*Faster(t), or\r\n" );
document.write( "\r\n" );
document.write( "\"2%2A%28L+-+%28L%2F3%29%2At%29\" = \"%28L+-+%28L%2F6%29%2At%29\" .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To solve for t, multiply both sides by \"6%2FL\". You will get\r\n" );
document.write( "\r\n" );
document.write( "\"12%2A%281-t%2F3%29\" = \"6%2A%281-t%2F6%29\",   or\r\n" );
document.write( "\r\n" );
document.write( "12 - 4t = 6 - t  --->  12 - 6 = 4t - t  --->  6 = 3t  --->  t = 2.\r\n" );
document.write( "\r\n" );
document.write( "Answer. After 2 hours.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "If you have questions or want to say \"thanks\", then please mention the ID number of this problem (# 1065529) in your response.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );