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      Question

      32 workers can complete a task in 18 days. They all

      started together, but after how many days should 12 workers quit so that the task gets completed in 27 days?
      A 2 Correct Answer Incorrect Answer
      B 3 Correct Answer Incorrect Answer
      C 5 Correct Answer Incorrect Answer
      D 7 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the efficiency of each worker be 'm' units/day Total work = 32 Γ— 18 Γ— m = 576m units Let after x days, 12 workers quit According to the question: 32 Γ— m Γ— x + 20 Γ— m Γ— (27 βˆ’ x) = 576m β†’ 32mx + 540m βˆ’ 20mx = 576m β†’ 12mx = 36m β†’ x = 36 Γ· 12 = 3 So, after 3 days the 12 workers should quit.

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