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      Question

      30 men can complete a task in 160 days. 12 men start the

      work and manage to do half of it. Then, 18 more men are added to the team to help finish the work. Find the total duration required to complete the task.
      A 200 days Correct Answer Incorrect Answer
      B 265 days Correct Answer Incorrect Answer
      C 280 days Correct Answer Incorrect Answer
      D 180 days Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Total amount of work = (30 x 160) = 4800 units Amount of work completed by 12 men = (4800/2) = 2400 units Time taken by 12 men to complete half of the work = (2400/12) = 200 days Amount of work completed by 30 men (12 + 18) = 4800 - 2400 = 2400 units Time taken by 30 men to complete 2400 units = (2400/30) = 80 days Total time taken = 200 + 80 = 280 days

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