My Problem #1
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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1 solution
Distance of the smallest candle from the longest candle = sum of the square roots of the length of all the candles.(except 30 cm long candle). = square root of (4+9+16+25) cm = (2+3+4+5) cm = 14 cm. Since, 30 cm long candle burns in 3 hours 6 minutes, i.e., 186 minutes, Therefore, 4 cm long candle burns in 3 0 1 8 6 X 4 i.e., 24.8 minutes. Hence, the distance of the smallest candle from longest candle is 14 cm and it will burn completely before 7:00 PM.