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Work done by X in 1 hour = 1/8 Work done by Y in 1 hour = 1/12 Work done by Z in 1 hour (emptying) = -1/6 Net work in 1 hour = (1/8) + (1/12) - (1/6) Taking LCM of 8, 12, and 6 = 24, Net work = (3/24) + (2/24) - (4/24) = 1/24 The tank will be filled in 24 hours.
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