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Time taken by inlet tap together with outlet tap to fill the tank = (200/3) minutes
Let the capacity of the tank be 200x units (LCM of 40 and 200)
Or, efficiency of inlet tap = (200x/40) = 5x units/minute
Or, efficiency of outlet tap = 5x - {(200x) ÷ (200/3) } = 2x units/minute
So, combined efficiency of 20 inlet and 25 such outlet pipes:
= 20 X 5x - 25 X 2x = 50x units/min
Therefore, required time = (200x/50x) = 4 minutes
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