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    Question

    Pipe 'X' and 'Y' can fill a tank in 1 hour and 1 hour

    30 minutes respectively. 'X' is opened alone. After 18 minutes, 'X' is closed and 'Y' is opened. Find the time taken by 'Y' to fill the remaining tank.
    A 48 minutes Correct Answer Incorrect Answer
    B 54 minutes Correct Answer Incorrect Answer
    C 63 minutes Correct Answer Incorrect Answer
    D 66 minutes Correct Answer Incorrect Answer
    E 72 minutes Correct Answer Incorrect Answer

    Solution

    Let the total capacity of tank be 180 litres (LCM of 60 and 90) Efficiency of 'X' = (180/60) = 3 litres/minute Efficiency of 'Y' = (180/90) = 2 litres/minute Tank filled by 'X' = 3 × 18 = 54 litres Remaining part of the tank = 180 − 54 = 126 litres Required time = (126/2) = 63 minutes

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