If 12 workers can complete a task in 10 days, how many days will it take for 6 w

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Question: If 12 workers can complete a task in 10 days, how many days will it take for 6 workers to complete the same task?

Options:

Correct Answer: 30 days

Solution:

Work done = Workers × Days. 12 workers × 10 days = 120 worker-days. 6 workers will take 120 / 6 = 20 days.

If 12 workers can complete a task in 10 days, how many days will it take for 6 workers to complete the same task?

If 12 workers can complete a task in 10 days, how many days will it take for 6 workers to complete the same task?

Step 1: Understand that 'worker-days' is a way to measure the total amount of work done. It combines the number of workers and the number of days they work.
Step 2: Calculate the total work done by the 12 workers in 10 days. This is done by multiplying the number of workers by the number of days: 12 workers × 10 days = 120 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 (120 worker-days).
Step 4: To find the number of days for 6 workers, divide the total work (120 worker-days) by the number of workers (6): 120 worker-days ÷ 6 workers = 20 days.
Step 5: Therefore, it will take 6 workers 20 days to complete the same task.

Work Rate – This problem tests the understanding of the relationship between the number of workers, the time taken, and the total work done, often expressed in worker-days.
Inverse Proportionality – The concept that as the number of workers decreases, the time taken to complete the task increases, demonstrating inverse proportionality.