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A keg is fitted with 3 taps A, B and C....

A keg is fitted with 3 taps A, B and C. All the three taps, if opened together can drain the full keg in `1 1/2` minutes. Tap B and C together take 2 minutes to drain the keg while taps and C together take `2 4/(13)` minutes to drain it. How long will taps A and B together take to drain the keg?

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