If a 4-person crew completes a job in 6 hours, how long would it take for 3 people to complete the same job at the same rate?

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Multiple Choice

If a 4-person crew completes a job in 6 hours, how long would it take for 3 people to complete the same job at the same rate?

Explanation:
Total work is fixed, so the time required scales inversely with the number of workers. If four people finish the job in six hours, the job requires 4 × 6 = 24 worker-hours. With three people, you need 24 / 3 = 8 hours. You can also see it by per-person rate: one person would take 24 hours to do the job, so three people work at 3/24 = 1/8 of the job per hour, giving 1 ÷ (1/8) = 8 hours.

Total work is fixed, so the time required scales inversely with the number of workers. If four people finish the job in six hours, the job requires 4 × 6 = 24 worker-hours. With three people, you need 24 / 3 = 8 hours.

You can also see it by per-person rate: one person would take 24 hours to do the job, so three people work at 3/24 = 1/8 of the job per hour, giving 1 ÷ (1/8) = 8 hours.

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