If 5 workers can complete a job in 10 days, how many days will it take for 10 wo

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Question: If 5 workers can complete a job in 10 days, how many days will it take for 10 workers to complete the same job?

Options:

Correct Answer: 5 days

Solution:

If 5 workers take 10 days, then 10 workers will take 10/2 = 5 days.

If 5 workers can complete a job in 10 days, how many days will it take for 10 workers to complete the same job?

If 5 workers can complete a job in 10 days, how many days will it take for 10 workers to complete the same job?

Step 1: Understand that 5 workers can complete the job in 10 days.
Step 2: Calculate the total amount of work done in worker-days. This is 5 workers multiplied by 10 days, which equals 50 worker-days.
Step 3: Realize that if you have 10 workers, they can do the same amount of work (50 worker-days) but faster.
Step 4: Divide the total work (50 worker-days) by the number of workers (10) to find out how many days it will take. So, 50 divided by 10 equals 5 days.
Step 5: Conclude that it will take 10 workers 5 days to complete the job.

Work Rate – Understanding how the number of workers and the time taken to complete a job are inversely related.
Proportionality – Applying the concept of proportionality to determine how changes in the number of workers affect the time required to complete a job.