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Burning Down

Age 14 to 16 Challenge Level:

candles

Two different candles are lit. They burn at different rates and one is 3 cm longer than the other.

The longer one was lit at 5.30 pm and the shorter one at 7 pm.

At 9.30 pm they were both the same length.

The longer one, burned out at 11.30 pm and the shorter one burned out at 11 pm.

How long was each candle originally?