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Question

If 5 workers, working at the same rate, complete a job in 12 days, how many days will 10

workers take to complete the same job?

The correct answer is

6 days

The total work is fixed, so the number of workers and the days taken are inversely proportional.

Total effort \(=5\ \text{workers}\times12\ \text{days}=60\ \text{worker-days}\).

With 10 workers, days needed \(=\dfrac{60}{10}=6\ \text{days}\).

Doubling the workforce halves the time, which confirms the result.

Hence, the answer is 6 days.

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