A cistern has two taps which fill it in 12 minutes and 15minutes respectively. There is also a waste pipe in the cistern. When all the 3 are opened ,the empty cistern is full in 20 minutes. How long will the waste pipe take to empty the full cistern?

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A cistern has two taps which fill it in 12 minutes and 15minutes respectively. There is also a waste pipe in the cistern. When all the 3 are opened ,the empty cistern is full in 20 minutes. How long will the waste pipe take to empty the full cistern?