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    Question

    Pipe 'M' and 'N' can fill a tank in 2 hours and 1 hour

    20 minutes respectively. 'M' is opened alone. After 30 minutes, 'M' is closed and 'N' is opened. Find the time taken by 'N' to fill the remaining tank.
    A 40 minutes Correct Answer Incorrect Answer
    B 45 minutes Correct Answer Incorrect Answer
    C 50 minutes Correct Answer Incorrect Answer
    D 60 minutes Correct Answer Incorrect Answer
    E 55 minutes Correct Answer Incorrect Answer

    Solution

    Let the total capacity of tank be 240 litres (LCM of 120 and 80) Efficiency of 'M' = (240/120) = 2 litres/minute Efficiency of 'N' = (240/80) = 3 litres/minute Tank filled by 'M' = 2 × 30 = 60 litres Remaining part of the tank = 240 − 60 = 180 litres Required time = (180/3) = 60 minutes

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