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    Question

    Pipe β€˜P’ and pipe β€˜Q’ can fill a tank alone in

    40 hours and 60 hours, respectively. If pipe β€˜P’ and pipe β€˜Q’ were opened together and pipe β€˜P’ was closed after 20 hours, then find the time taken by pipe β€˜Q’ to fill the remaining portion of the tank alone.
    A 15 hours Correct Answer Incorrect Answer
    B 10 hours Correct Answer Incorrect Answer
    C 12 hours Correct Answer Incorrect Answer
    D 6 hours Correct Answer Incorrect Answer

    Solution

    Let the capacity of the tank be 120 units (LCM of 40 and 60) Efficiency of pipe β€˜P’
    = 120 Γ· 40
    = 3 unit/hour Efficiency of pipe β€˜Q’
    = 120 Γ· 60
    = 2 unit/hour Let the pipe β€˜Q’ fill the remaining portion of the tank in x hours. ATQ, 20 Γ— (3 + 2) + 2x = 120 Or, 20 Γ— 5 + 2x = 120 Or, 100 + 2x = 120 Or, 2x = 20 Or, x = 10 Therefore, required time taken by pipe β€˜Q’ = 10 hours

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