If 25 workers can complete a job in 30 days, how many days will it take 35 workers to complete the same job?

To determine how long it will take 35 workers to complete the same job that 25 workers can finish in 30 days, we first need to understand the relationship between workers, days, and the total work required.

When 25 workers complete a job in 30 days, we can calculate the total work in worker-days. This is done by multiplying the number of workers by the number of days:

Total work = Number of workers × Number of days

Total work = 25 workers × 30 days = 750 worker-days.

Now, if 35 workers are available, we need to find out how many days it will take them to accomplish the same total of 750 worker-days. We can set this up with the formula:

Total work = Number of workers × Number of days

750 worker-days = 35 workers × Days

To find the number of days, we rearrange the formula:

Days = Total work / Number of workers

Days = 750 worker-days / 35 workers

Days = 21.42857 days.

When we round this to two decimal places, we find that it is approximately 21.43 days. Therefore, the answer provided accurately reflects the calculations based on the initial total work and the