Question
Time taken by pipe 'A' to fill a tank is 45 minutes.
When both pipes 'A' and 'B' are opened together, the tank gets filled in 18 minutes. Find the time taken by 'B' to fill the tank alone.Solution
Let the capacity of the tank be 90 litres (LCM of 45 and 18).
Efficiency of 'A' = (90/45) = 2 litres/minute
Combined efficiency of 'A' and 'B' = (90/18) = 5 litres/minute
Efficiency of 'B' = 5 - 2 = 3 litres/minute
Therefore, required time = (90/3) = 30 minutes
Hence, the answer is 30 minutes.
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