Question
Time taken by pipe 'A' to fill a tank is 40 minutes.
When both pipes 'A' and 'B' are opened together, the tank gets filled in 20 minutes. Find the time taken by 'B' to fill the tank alone.Solution
Let the capacity of the tank be 120 litres (LCM of 40 and 20).
Efficiency of 'A' = (120/40) = 3 litres/minute
Combined efficiency of 'A' and 'B' = (120/20) = 6 litres/minute
Efficiency of 'B' = 6 - 3 = 3 litres/minute
Therefore, required time = (120/3) = 40 minutes
Hence, the answer is 40 minutes.
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