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Let the total capacity of the tank be 60 units Efficiency of pipe ‘A’ = 60/12 = 5 units/hour Efficiency of pipe ‘B’ = 60/15 = 4 units/hour Efficiency of pipe ‘C’ = 60/20 = 3 units/hour Tank filled by pipe ‘A’ and pipe ‘C’ in 25 hours = 25 × (5 – 3) = 50 units Time taken by pipe ‘B’ to fill the remaining tank = (60 – 50)/4 = 2.5 hours Therefore, total time taken to fill the tank = 25 + 2.5 = 27.5 hours Hence, option a.
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