SOLUTION: 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 exactl
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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?
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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?
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Faster candle rate of burning is of its length per hour.
Slower candle rate of burning is of its length per hour.
The length of the remaining part for the faster candle is after t hours.
The length of the remaining part for the slower candle is after t hours.
The question asks about time t when Slower(t) = 2*Faster(t), or
= .
To solve for t, multiply both sides by . You will get
= , or
12 - 4t = 6 - t ---> 12 - 6 = 4t - t ---> 6 = 3t ---> t = 2.
Answer. After 2 hours.
If you have questions or want to say "thanks", then please mention the ID number of this problem (# 1065529) in your response.
