If 15 workers can build a wall in 30 days, how many days will it take for 5 work

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Question: If 15 workers can build a wall in 30 days, how many days will it take for 5 workers to build the same wall?

Options:

Correct Answer: 90 days

Solution:

Total work = 15 workers * 30 days = 450 worker-days. For 5 workers, days = 450 / 5 = 90 days.

If 15 workers can build a wall in 30 days, how many days will it take for 5 workers to build the same wall?

If 15 workers can build a wall in 30 days, how many days will it take for 5 workers to build the same wall?

Step 1: Understand that 15 workers can build a wall in 30 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: 15 workers * 30 days = 450 worker-days.
Step 3: Now, we need to find out how many days it will take for 5 workers to do the same amount of work (450 worker-days).
Step 4: To find the number of days for 5 workers, divide the total work (450 worker-days) by the number of workers (5): 450 / 5 = 90 days.
Step 5: Therefore, it will take 5 workers 90 days to build the same wall.

Work Rate – Understanding the relationship between the number of workers, the time taken, and the total work done.
Unitary Method – Using the unitary method to find the time taken by a different number of workers to complete the same task.