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      Question

      45 people can repair a road in 10 days working 6 hours a

      day. In how many days can 30 people working 6 hours a day complete the same work?
      A 10 Correct Answer Incorrect Answer
      B 18 Correct Answer Incorrect Answer
      C 15 Correct Answer Incorrect Answer
      D 12 Correct Answer Incorrect Answer

      Solution

      Let the hourly efficiency of 1 person be β€˜x’ units/hour
      Then, total work = 45x Γ— 10 Γ— 6 = 2700x
      So, number of days taken by 30 people working 6 hours a day to complete the same work
      = 2700x Γ· (30x Γ— 6) = 15 days

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