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      Question

      Pipe M and N can fill a tank together in 25 hours while

      pipe N alone can fill the tank in 30 hours. Find the time taken by pipe M to fill the tank if its efficiency had been 150% more.
      A 30 hours Correct Answer Incorrect Answer
      B 50 hours Correct Answer Incorrect Answer
      C 60 hours Correct Answer Incorrect Answer
      D 40 hours Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the capacity of the tank be 150 units. Efficiency of pipes (M+N) = 150/25 = 6 units/hour Efficiency of pipe N = 150/30 = 5 unit/hour Therefore, efficiency of pipe M = 6 – 5 = 1 unit/hour New efficiency of pipe M = 2.5 units/hour Required time taken = 150/2.5 = 60 hours

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