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Suppose that you have a number of candles(that can be burned from both the ends), which you know that they burn for exactly one hour after you lighted them at one end. However, you don't know whether the speed with which they burn is constant, so the first half of candle can be burnt in only ten minutes while the other half can take the other fifty minutes to burn. Now you have a lighter. How can you measure exactly 45 minutes with these candles?

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Do all the candles burn at the same speed ratio?

So for example will both candle A and candle B both burn 10 minutes for the top half and 50 for the bottom half? Or could any candle burn at any ratio so long as it amounts to one hour?

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