If 10 workers can finish a job in 15 days, how many days will it take for 5 work

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Question: If 10 workers can finish a job in 15 days, how many days will it take for 5 workers to finish the same job?

Options:

Correct Answer: 40 days

Solution:

If 10 workers take 15 days, then 5 workers will take 15 * 10 / 5 = 30 days.

If 10 workers can finish a job in 15 days, how many days will it take for 5 workers to finish the same job?

If 10 workers can finish a job in 15 days, how many days will it take for 5 workers to finish the same job?

Step 1: Understand that 10 workers can finish the job in 15 days.
Step 2: Calculate the total amount of work done in worker-days. This is 10 workers * 15 days = 150 worker-days.
Step 3: Realize that the total work (150 worker-days) remains the same regardless of how many workers are doing it.
Step 4: Now, we need to find out how many days it will take for 5 workers to complete the same 150 worker-days of work.
Step 5: Use the formula: Total work = Number of workers * Number of days. We can rearrange this to find the number of days: Number of days = Total work / Number of workers.
Step 6: Substitute the values: Number of days = 150 worker-days / 5 workers = 30 days.
Step 7: Conclude that it will take 5 workers 30 days to finish 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.