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Scaling a workforce, harder cases

Exercise and reference answers

Questions
  1. Question
    8 workers take 6 days. 4 workers take
    Choices
    1. 3 days
    2. 6 days
    3. 12 days
    Correct choice
    12 days
  2. Question
    5 workers take 12 days. 15 workers take
    Choices
    1. 4 days
    2. 36 days
    3. 6 days
    Correct choice
    4 days
  3. Question
    Trebling the workforce changes the time to
    Choices
    1. three times
    2. a third
    3. the same
    Correct choice
    a third
  4. Question
    10 workers take 9 days. The total work equals
    Choices
    1. 19 worker-days
    2. 1.1 worker-days
    3. 90 worker-days
    Correct choice
    90 worker-days

Explanation

The product of workers and days is fixed so any change in one scales the other reciprocally. Source: syllabus Maths, Ch 11 Direct and Inverse Proportions.
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