Let the capacity of the cistern = 180 units Then, efficiency of pipe ‘A’ = 180/15 = 12 units/minute Efficiency of pipe ‘B’ = 180/36 = 5 units/minute Efficiency of pipe ‘C’ = 180/12 = 15 units/minute So, combined efficiency of pipes ‘A’, ‘B’ and ‘C’ = 12 + 5 – 15 = 2 units/minute 50% of the cistern’s capacity = 90 units Therefore, time taken by all 3 pipes together to fill 50% of the cistern = 90/2 = 45 minutes
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