My Problem #1

Algebra Level 3

There are 5 candles of same diameter but of different lengths as 30 cm, 25 cm, 16 cm, 9 cm, and 4 cm respectively. They are placed on a table in a row according to their lengths. The distance between two consecutive candles is square root of length of the smaller candle. All candles are put to light at 6:30 PM and the rate of burning is equal for all candles. The longest candle burns completely at 9:36 PM. What was the distance of the smallest candle from the longest candle and at what time did it burn completely ?

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