If 3 workers can complete a task in 12 days, how many days will it take for 6 wo

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Question: If 3 workers can complete a task in 12 days, how many days will it take for 6 workers to complete the same task?

Options:

Correct Answer: 6 days

Solution:

Work done = 3 workers × 12 days = 36 worker-days. For 6 workers, days = 36 worker-days / 6 workers = 6 days.

If 3 workers can complete a task in 12 days, how many days will it take for 6 workers to complete the same task?

If 3 workers can complete a task in 12 days, how many days will it take for 6 workers to complete the same task?

Step 1: Understand that 3 workers can finish a task in 12 days.
Step 2: Calculate the total amount of work done in 'worker-days'. This is done by multiplying the number of workers by the number of days: 3 workers × 12 days = 36 worker-days.
Step 3: Now, we want to find out how many days it will take for 6 workers to complete the same task.
Step 4: To find the number of days for 6 workers, divide the total work (36 worker-days) by the number of workers (6 workers): 36 worker-days ÷ 6 workers = 6 days.
Step 5: Therefore, it will take 6 workers 6 days to complete the task.

Work Rate – Understanding how the number of workers and the time taken relate to the total amount of work done.
Inverse Relationship – Recognizing that increasing the number of workers decreases the time required to complete the task.