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      Question

      A contractor assigned 18 laborers to complete a task in 16

      days. Unfortunately, 6 laborers left after 6 days. How many additional days will be required to finish the work?
      A 5 days Correct Answer Incorrect Answer
      B 4 days Correct Answer Incorrect Answer
      C 3 days Correct Answer Incorrect Answer
      D 7 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let each laborer's efficiency be 'e' units/day

      Total work = 18 × 16 × e = 288e units

      Work done in 6 days = 18 × 6 × e = 108e units

      Remaining work = 288e - 108e = 180e units

      Laborers left = 18 - 6 = 12

      Time required = 180e ÷ (12 × e) = 15 days

      Extra days = 15 - 10 = 5 days

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