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    Question

    Pipe β€˜A’ takes 25 minutes to fill a tank. Pipe

    β€˜B’ takes 30 minutes to empty the same tank. If pipe β€˜B’ is opened 18 minutes after pipe β€˜A’, then find the total time taken to fill the tank in this manner.
    A 65 minutes Correct Answer Incorrect Answer
    B 67 minutes Correct Answer Incorrect Answer
    C 69 minutes Correct Answer Incorrect Answer
    D 60 minutes Correct Answer Incorrect Answer

    Solution

    Let the capacity of the tank be β€˜150’ litres {LCM (25, 30)} Efficiency of pipe β€˜A’ = (150/25) = 6 litres/minute Efficiency of pipe β€˜B’ = (150/30) = 5 litres/minute Quantity of water filled by pipe β€˜A’ in 18 minutes = 18 Γ— 6 = 108 litres Quantity of water to be filled = 150 – 108 = 42 litres Time taken by pipe β€˜A’ and β€˜B’ together to fill 42 litres of water = {42/(6 – 1)} = 42 minutes Total time taken = 18 + 42 = 60 minutes

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