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Let the capacity of the tank be ‘200’ litres {LCM (40, 50)} Efficiency of pipe ‘A’ = (200/40) = 5 litres/minute Efficiency of pipe ‘B’ = (200/50) = 4 litres/minute Quantity of water filled by pipe ‘A’ in 21 minutes = 5 × 21 = 105 litres Quantity of water to be filled = 200 – 105 = 95 litres Time taken by pipe ‘A’ and ‘B’ together to fill 95 litres of water = {95/(5 – 4)} = 95 minutes Total time taken = 21 + 95 = 116 minutes
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