SOLUTION: Two candles of equal length are lit at the same time. One candle take 6 hours to burn out, the other takes 9 hours to burn out. After how much time will the slower burning candle b

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Question 1032050: Two candles of equal length are lit at the same time. One candle take 6 hours to burn out, the other takes 9 hours to burn out. After how much time will the slower burning candle be exactly twice as long as the faster burning candle?
Answer by ikleyn(52793) About Me  (Show Source):
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Two candles of equal length are lit at the same time. One candle take 6 hours to burn out, the other takes 9 hours to burn out.
After how much time will the slower burning candle be exactly twice as long as the faster burning candle?
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The equation which describes the situation is

2%2A%281-t%2F6%29 = 1-t%2F9.   (1)

t%2F6 is the rate for the first candle, and 1%2F9 is the rate for the second candle.

After solving (1) you get t = 4.5 hours = 41%2F2 of an hour.

The remaining parts at this moment will be 1%2F4 for the faster candle and 1%2F2 for the slower candle.