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Let the capacity of the tank be 150 litres {LCM (25 and 30)} Efficiency of pipe ‘A’ = 150 ÷ 25 = 6 litres/hour Efficiency of leak ‘A’ = 150 ÷ 30 = 5 litres/hour Combined efficiency of pipe ‘A’ and leak ‘A’ = 6 – 5 = 1 litre/hour Combined efficiency of pipe ‘A’, ‘B’ and leak ‘A’ = 150 ÷ 15 = 10 units/hour Efficiency of pipe ‘B’ = 10 – 1 = 9 units/hour Time taken by pipe ‘B’ and leak ‘A’ to fill the tank = 150 ÷ (9 – 5) = 37.5 hours
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