# Homework Help: Burning Candles

1. Oct 31, 2008

### Vuldoraq

1. The problem statement, all variables and given/known data

Two candles A and B are 8cm and 14cm long, respectively, and are lit at hte same time. If candle B burns twice as fast as candle A, how long are they when their lengths are the same. How long is candle A when candle B burns out?

2. Relevant equations

Not sure.

3. The attempt at a solution

I drew a table of length's for equal time width's. So when A is 7cm ling B will be 12cm long etc. I found that they would be 2cm a piece when they are the same length and that candle A would be 1cm long when candle B burns out. Is this correct?

More importantly how do I answer this question algebraically? The above seems to me like the dumb approach, but I just can't see how to model teh problem.

Any help would be much appreciated!

2. Oct 31, 2008

### LowlyPion

Your answers are right. Let LB = Length Burned of A

8 - LB = Height(a)

14 - 2*LB = Height(b)

When Heights are equal LB = 6, Height(a) = 2
When Height(b) = 0, T = 7, then Height(a) = 8 - 7 = 1

3. Oct 31, 2008

### Vuldoraq

Thanks a million LowlyPion. I kept trying to use series sums etc, but I just couldn't get it to work. Your answer is much simpler!

Vuldoraq

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