Scaling a workforce, harder cases
Exercise and reference answers
- Questions
- Question
- 8 workers take 6 days. 4 workers take
- Choices
- 3 days
- 6 days
- 12 days
- Correct choice
- 12 days
- Question
- 5 workers take 12 days. 15 workers take
- Choices
- 4 days
- 36 days
- 6 days
- Correct choice
- 4 days
- Question
- Trebling the workforce changes the time to
- Choices
- three times
- a third
- the same
- Correct choice
- a third
- Question
- 10 workers take 9 days. The total work equals
- Choices
- 19 worker-days
- 1.1 worker-days
- 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.