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    Question

    Two pipes 'P' and 'Q' together can fill a tank in 16

    minutes while 'Q' alone can fill the tank in 24 minutes. How much time does pipe 'P' alone need to fill the tank?
    A 30 min Correct Answer Incorrect Answer
    B 52 min Correct Answer Incorrect Answer
    C 45 min Correct Answer Incorrect Answer
    D 48 min Correct Answer Incorrect Answer

    Solution

    Let the total capacity of the tank be 48 litres. {LCM (16 and 24)} So, the efficiency of pipe 'Q' = 48 ÷ 24 = 2 litres/minute Combined efficiency of pipe 'P' and 'Q' = 48 ÷ 16 = 3 litres/minute So, the efficiency of 'P' = 3 - 2 = 1 litre/minute So, the required time = 48 ÷ 1 = 48 minutes

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