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    Question

    There are two pipes A & B, pipe A is for filling the

    swimming pool and pipe B is to empty the swimming pool. Capacity of swimming pool is 15120 m 3  and volume of pipe B is 24 m  3  /minute more than that of pipe A. If pipe A takes 11(1/4) more minutes to fill same swimming pool, than time taken by B to empty the same swimming pool. If pipe B can empty second swimming pool in 112.5 minutes, then find the capacity of second swimming pool?(m 3 )
    A 16348 Correct Answer Incorrect Answer
    B 19296 Correct Answer Incorrect Answer
    C 15736 Correct Answer Incorrect Answer
    D 12448 Correct Answer Incorrect Answer

    Solution

    Let capacity of pipe A = x m3 So, capacity of pipe B = x+ 24 m3  Required time to fill the swimming pool = 15120/x minutes   Required time to empty the swimming pool = 15120/ (x + 24) minutes According to question – 15120/x – 15120 (x + 24) = 45/4  336/x – 336/ (x + 24) = 1/4 By solving, x = 168 m3 Capacity of second swimming pool = (168 + 24) × 100.5 = 19296m3

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