If 8 workers can build a wall in 15 days, how many days will it take for 4 worke

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Question: If 8 workers can build a wall in 15 days, how many days will it take for 4 workers to build the same wall?

Options:

Correct Answer: 40 days

Solution:

8 workers take 15 days, so total work = 8 * 15 = 120 worker-days. For 4 workers, days = 120 / 4 = 30 days.

If 8 workers can build a wall in 15 days, how many days will it take for 4 workers to build the same wall?

If 8 workers can build a wall in 15 days, how many days will it take for 4 workers to build the same wall?

Step 1: Understand that 8 workers can build a wall in 15 days.
Step 2: Calculate the total amount of work done in worker-days. Multiply the number of workers by the number of days: 8 workers * 15 days = 120 worker-days.
Step 3: Now, we need to find out how many days it will take for 4 workers to do the same amount of work (120 worker-days).
Step 4: Divide the total work (120 worker-days) by the number of workers (4 workers): 120 worker-days / 4 workers = 30 days.
Step 5: Conclude that it will take 4 workers 30 days to build the same wall.

Work Rate – Understanding the relationship between the number of workers, the time taken, and the total work done.
Proportionality – Applying the concept of inverse proportionality where fewer workers take more time to complete the same amount of work.