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      Question

      'A' alone can do some work in 24 days, 'B' alone can do

      the same work in 48 days. If they work on alternate days, starting with 'B', then the work will be finished in:
      A 30 days Correct Answer Incorrect Answer
      B 31 days Correct Answer Incorrect Answer
      C 33 days Correct Answer Incorrect Answer
      D 32 days Correct Answer Incorrect Answer

      Solution

      Let the total work be 48 units {LCM (24 and 48)} So, efficiency of 'A' = 48 ÷ 24 = 2 units/day And efficiency of 'B' = 48 ÷ 48 = 1 unit/day Work done in every 2 days (B + A) = 1 + 2 = 3 units So, work done in 32 days by 'A' and 'B' = (32 ÷ 2) x 3 = 48 units Total time taken = 32 days

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