A tank has two taps A and B. A and B can fill the tank completely in 45 minutes and in 60 minutes respectively. If both the taps are opened alternatively for 1 minute, then in what time the empty tank will be filled completely?

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A tank has two taps A and B. A and B can fill the tank completely in 45 minutes and in 60 minutes respectively. If both the taps are opened alternatively for 1 minute, then in what time the empty tank will be filled completely?