A team of 12 workers completed a job in 8 hours. How many workers are needed to finish the same job in 6 hours?

• A. 10 Workers
• B. 12 Workers
• C. 14 Workers
• D. 16 Workers

Answer: (D)

To determine how many workers are needed to finish the job in 6 hours, we first need to calculate the total amount of work done in worker-hours. A team of 12 workers can complete the job in 8 hours, which gives us a total work time of:

12 workers × 8 hours = 96 worker-hours.

Now, if we want to complete the same job in 6 hours, we can set up the equation to find out how many workers are necessary for that amount of time:

Total work needed is still 96 worker-hours, and this time we have 6 hours to complete the job. To find the number of workers required, we divide the total amount of work by the number of hours:

Number of workers = Total worker-hours ÷ Time in hours = 96 worker-hours ÷ 6 hours = 16 workers.

This shows that 16 workers would be needed to maintain the same rate of work and complete the job in 6 hours. The calculation demonstrates how workforce size and time interact to ensure project completion within specified constraints.