If 12 workers can complete a job in 15 days, how many days will it take for 6 wo

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Question: If 12 workers can complete a job in 15 days, how many days will it take for 6 workers to complete the same job?

Options:

Correct Answer: 45 days

Solution:

Work done = Workers × Days; Total work = 12 × 15 = 180 worker-days; 6 workers will take 180/6 = 30 days.

If 12 workers can complete a job in 15 days, how many days will it take for 6 workers to complete the same job?

If 12 workers can complete a job in 15 days, how many days will it take for 6 workers to complete the same job?

Step 1: Understand that 'worker-days' means how many workers are working for how many days.
Step 2: Calculate the total work done by the 12 workers in 15 days. This is done by multiplying the number of workers by the number of days: 12 workers × 15 days = 180 worker-days.
Step 3: Now, we need to find out how many days it will take for 6 workers to do the same amount of work (180 worker-days).
Step 4: To find the number of days for 6 workers, divide the total work (180 worker-days) by the number of workers (6): 180 ÷ 6 = 30 days.
Step 5: Therefore, it will take 6 workers 30 days to complete the job.

Work Rate – Understanding the relationship between the number of workers, the time taken, and the total work done.
Inverse Proportionality – Recognizing that as the number of workers decreases, the time taken to complete the job increases.