# SOLUTION: two candles of the same height are lit at the same time. each candle burns at a constant rate and the first candle takes 5 hours while the second candle takes 4 hours to burn compl

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 Question 477023: two candles of the same height are lit at the same time. each candle burns at a constant rate and the first candle takes 5 hours while the second candle takes 4 hours to burn completely. find the time, in hours, taken for the height of the first candle to be four time that of the second candleAnswer by josmiceli(9680)   (Show Source): You can put this solution on YOUR website!Let = the height that both candles start at Let = the current height of the 1st candle Let = the current height of the 2nd candle Let = the current time expired in hours given: = the rate of burning of the 1st candle = the rate of burning of the 2nd candle ------------- For the 1st candle: (1) For the 2nd candle: (2) -------------- given: (1) (1) and (2) ------------------------ I can set the right sides equal to each other Divide both sides by Multiply both sides by Multiply both sides by It will take 3 hrs and 45 min for the 1st candle to be 4 times as high as the 2nd candle check answer: Suppose the heights of both start at 1 m For the 1st candle: For the 1st candle: (1) (1) (1) (1) For the 2nd candle: (2) (2) (2) (2) and OK