Puzzle: Candle problem

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Sam was studying for his examinations and the lights went off. It was around 1:00 AM. He lighted two uniform candles of equal length but one thicker than the other. The thick candle is supposed to last six hours and the thin one two hours less. When he finally went to sleep, the thick candle was twice as long as the thin one.For how long did Sam study in candle light?
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Sangeeta Haldhar Sangeeta Haldhar   11 years ago

3 hours

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Gagan Kshirsagar Gagan Kshirsagar   10 years ago

3 hr

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Sandeep Seth Sandeep Seth   10 years ago

Let rate of burning for thick and thin candle is k1 and k2
then (L - K1 * t) = 2* (L - K2 * t) .... (1)
and K1 = L/6 and K2 = L/4 ... (2)
by solving these two eqns we get T = 3 Hrs.

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