If 8 workers can complete a task in 6 hours, how long would 4 workers take, assuming the same rate?

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Multiple Choice

If 8 workers can complete a task in 6 hours, how long would 4 workers take, assuming the same rate?

Explanation:
The amount of work to be done is fixed, and each worker contributes at a constant rate, so the total time is inversely related to the number of workers. First find the total amount of work in worker-hours: 8 workers × 6 hours = 48 worker-hours. With 4 workers doing the same task, the time needed is 48 worker-hours ÷ 4 workers = 12 hours. Doubling the time because you halve the workforce makes sense: 6 hours becomes 12 hours when the workers are halved. So the task would take 12 hours.

The amount of work to be done is fixed, and each worker contributes at a constant rate, so the total time is inversely related to the number of workers. First find the total amount of work in worker-hours: 8 workers × 6 hours = 48 worker-hours. With 4 workers doing the same task, the time needed is 48 worker-hours ÷ 4 workers = 12 hours. Doubling the time because you halve the workforce makes sense: 6 hours becomes 12 hours when the workers are halved. So the task would take 12 hours.

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