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Sum of initial candle lengths
Middle school · ●●○○○ 20 pts
Two candles have lengths that differ by 32 cm. The longer one is lit at 15:00 and the shorter one at 19:00. At 21:00 they have the same length. The longer one burns out completely at 22:00, and the shorter one at midnight. Each candle burns at a constant rate. What is the sum of the initial lengths of the candles, in centimetres?