b) 12 workers can complete a piece of work in 20 days. How many workers
are needed to complete the work in 16 days?

Question

b) 12 workers can complete a piece of work in 20 days. How many workers are needed to complete the work in 16 days?

UpStudy AI · Accepted Answer

To determine how many workers are needed to complete the work in 16 days, we can use the concept of "man-days," which is the total amount of work done in terms of the number of workers and the number of days they work.

First, we calculate the total amount of work in man-days using the initial scenario:

- 12 workers can complete the work in 20 days.
- Total work = Number of workers × Number of days = 12 workers × 20 days = 240 man-days.

Now, we want to find out how many workers (let's call this number $$ x $$) are needed to complete the same amount of work (240 man-days) in 16 days:

$$
x \text{ workers} \times 16 \text{ days} = 240 \text{ man-days}
$$

Now, we can solve for $$ x $$:

$$
x \times 16 = 240
$$

$$
x = \frac{240}{16} = 15
$$

Therefore, **15 workers** are needed to complete the work in 16 days.
15 workers are needed to complete the work in 16 days.

b) 12 workers can complete a piece of work in 20 days. How many workers
are needed to complete the work in 16 days?

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