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      Question

      Aman and Bhanu, working

      separately, can complete a task in 32 days and 40 days, respectively. They started working together, but Aman’s efficiency decreased by 40%, while Bhanu’s efficiency increased by 25%. How much time will it take for them to complete the work together under these new conditions?
      A 20 days Correct Answer Incorrect Answer
      B 18 days Correct Answer Incorrect Answer
      C 28 days Correct Answer Incorrect Answer
      D 12 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let total work = 160 units {LCM of 32 and 40} Efficiency of 'Aman' = (160/32) = 5 units/day Efficiency of 'Bhanu' = (160/40) = 4 units/day New efficiency of 'Aman' = 0.6 X 5 = 3 units/day New efficiency of 'Bhanu' = 1.25 X 4 = 5 units/day Therefore, combined efficiency of 'Aman' and 'Bhanu' = 3 + 5 = 8 units/day Required time taken = (160/8) = 20 days

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