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      Question

      'Akshay' alone takes 18 days to finish a work while

      'Bhim' alone takes 24 days to finish the same work. If 'Akshay' and 'Bhim' work on alternate days starting with 'Akshay', then find the time taken to complete the whole work this way.
      A 20.5 days Correct Answer Incorrect Answer
      B 21 days Correct Answer Incorrect Answer
      C 18.5 days Correct Answer Incorrect Answer
      D 17 days Correct Answer Incorrect Answer

      Solution

      Let, the total work be LCM of [18, 24] = 72 units Efficiency of 'Akshay' = (72/18) = 4 units/day Efficiency of 'Bhim' = (72/24) = 3 units/day Amount of work done in first two days = 4 x 1 + 3 x 1 = 7 units Amount of work done in 20 days = 7 x 10 = 70 units Total time taken to complete the work = 2 x (70/7) + (2/4) = 20 + 0.5 = 20.5 days

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