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Scaling the workforce

Exercise and reference answers

Questions
  1. Question
    If 2 workers take 12 days, 4 workers take
    Choices
    1. 6 days
    2. 24 days
    3. 12 days
    Correct choice
    6 days
  2. Question
    If 3 workers take 12 days, 6 workers take
    Choices
    1. 18 days
    2. 6 days
    3. 24 days
    Correct choice
    6 days
  3. Question
    Halving the workforce does what to the time?
    Choices
    1. halves it
    2. leaves it alone
    3. doubles it
    Correct choice
    doubles it
  4. Question
    Workers and days for one job satisfy
    Choices
    1. x₁y₁ = x₂y₂
    2. x₁/y₁ = x₂/y₂
    3. x + y = k
    Correct choice
    x₁y₁ = x₂y₂

Explanation

With the job fixed, workers times days is constant so the two scale reciprocally. Source: syllabus Maths, Ch 11 Direct and Inverse Proportions.
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