If 25 workers take 30 days to complete a task, what is the equivalent working time in days for 40 workers?

To determine the equivalent working time for 40 workers given that 25 workers complete a task in 30 days, we can use the concept of worker-days, which is the product of the number of workers and the number of days they work.

First, calculate the total amount of work done in terms of worker-days by the original group:

25 workers × 30 days = 750 worker-days.

Now, if we have 40 workers, we need to find out how many days they would need to complete the same amount of work:

Let ( x ) be the number of days required for 40 workers to do the same amount of work. Therefore, we can set up the following equation:

40 workers × ( x ) days = 750 worker-days.

To find ( x ), we rearrange the equation:

( x = \frac{750}{40} ).

When we calculate this, we find:

( x = 18.75 ).

Since we are typically interested in whole days, we would round up to the nearest whole day, resulting in 19 days. However, to match the choices provided and find a closer logical understanding, we can verify other calculations.

Given the rates of work, if 25