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Time with exactly two candles burning

Middle school · ●●○○○ 20 pts

Three candles can burn for 3030, 4040, and 5050 minutes respectively, but they are not lit at the same time. Each candle burns until it is used up. The three candles are burning simultaneously for a total of 1010 minutes, and exactly one candle is burning for a total of 2020 minutes. Find the total time, in minutes, during which exactly two candles are burning simultaneously.

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