# If a five-hour candle and a six-hour candle were lit at the same time, how much time would elapse before one............

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If a five-hour candle and a six-hour candle were lit at the same time, how much time would elapse before one candle would be five times longer than the other?

posted Aug 17, 2019

L - length of the candle
x = hours spent on candle burning.
5L((5 - x)/5) = L((6 - x)/6)
5*(5 - x)*6 = 5*(6 - x)
150 - 30x = 30 - 5x
25x = 120
x = 120/25 = 4 hours & 48 minutes.

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