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

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

Options:

Correct Answer: 45 days

Solution:

Work done = Workers × Days. Total work = 12 × 15 = 180. For 6 workers, Days = 180 / 6 = 30 days.

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

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

Step 1: Understand that the total work done can be calculated by multiplying the number of workers by the number of days they work.
Step 2: Calculate the total work done by 12 workers in 15 days. This is 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 complete the same total work of 180 worker-days.
Step 4: Use the formula: Days = Total Work / Number of Workers. Here, Total Work is 180 and Number of Workers is 6.
Step 5: Calculate the number of days: Days = 180 / 6 = 30 days.
Step 6: Conclude that it will take 6 workers 30 days to complete the task.

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 task increases.