If 8 workers can complete a job in 6 days, how many days will 12 workers take to complete the same job?

If 8 workers can complete a job in 6 days, how many days will 12 workers take to complete the same job?

• A. 3 days
• B. 4 days
• C. 8 days
• D. 12 days

Answer: (B)

The amount of time to complete a fixed job is inversely related to the number of workers, assuming each worker contributes the same amount of work. With eight workers taking six days, the total amount of work is 8 × 6 = 48 worker-days. If twelve workers do the same job, the time required is 48 / 12 = 4 days. Since doubling the workforce would cut the time in half and increasing by 50% (from 8 to 12) reduces the time by a factor of 1.5, the new time is 6 ÷ 1.5 = 4 days. So it would take four days.

The amount of time to complete a fixed job is inversely related to the number of workers, assuming each worker contributes the same amount of work. With eight workers taking six days, the total amount of work is 8 × 6 = 48 worker-days. If twelve workers do the same job, the time required is 48 / 12 = 4 days. Since doubling the workforce would cut the time in half and increasing by 50% (from 8 to 12) reduces the time by a factor of 1.5, the new time is 6 ÷ 1.5 = 4 days. So it would take four days.