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      Question

      A and B can do a work in 24 days and 32 days,

      respectively. If A works on it for ‘x’ days and B works on it for ‘x – 1’ days, then one-third of the work gets completed. Find the value of ‘x’.
      A 10 Correct Answer Incorrect Answer
      B 16 Correct Answer Incorrect Answer
      C 9 Correct Answer Incorrect Answer
      D 11 Correct Answer Incorrect Answer
      E 5 Correct Answer Incorrect Answer

      Solution

      Let the total work = 96 units {LCM of 24 and 32} Efficiency of A = 96/24 = 4 units/day Efficiency of B = 96/32 = 3 units/day According to the question; 4 × (x) + 3 × (x – 1) = (1/3) × 96 Or, 4x + 3x – 3 = 32 Or, 7x = 35 Or, x = 35/7 = 5

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