Pipe ‘A’ can fill a tank in 15 hours while pipe ‘B’ can empty it in 45 hours. They were operated on alternate hours starting with pipe ‘A’. Find the percentage of tank filled this way in 27 hours.
Let the total capacity of tank be 45 units Efficiency of pipe ‘A’ = 45/15 = 3 units/hour Efficiency of pipe ‘B’ = 45/45 = 1 units/hour Tank filled in 2 hours = (3 – 1) = 2 units Therefore, tank filled in (2 × 13.5 = 27 hours) = 2 × 13.5 = 27 units Required percentage of tank filled = (27/45) × 100 = 60%
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