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    Question

    Pipe β€˜A’ takes 15 minutes to fill a tank. Pipe

    β€˜B’ takes 30 minutes to empty the same tank. If pipe β€˜B’ is opened 13 minutes after pipe β€˜A’, then find the total time taken to fill the tank in this manner.
    A 10 minutes Correct Answer Incorrect Answer
    B 12 minutes Correct Answer Incorrect Answer
    C 18 minutes Correct Answer Incorrect Answer
    D 17 minutes Correct Answer Incorrect Answer

    Solution

    Let the capacity of the tank be β€˜30’ litres {LCM (15, 30)} Efficiency of pipe β€˜A’ = (30/15) = 2 litres/minute Efficiency of pipe β€˜B’ = (30/30) = 1 litres/minute Quantity of water filled by pipe β€˜A’ in 13 minutes = 13 Γ— 2 = 26 litres Quantity of water to be filled = 30 – 26 = 4 litres Time taken by pipe β€˜A’ and β€˜B’ together to fill 4 litres of water = {4/(2 – 1)} = 4 minutes Total time taken = 13 + 4 = 17 minutes

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