Let's solve the problem step by step:

Given:

• 4 workers complete the task in 10 days.
• We need to find how many days 8 workers will take.

Step 1: Find the total work done

The total work can be expressed in worker-days: $\text{Total Work} = 4 \times 10 = 40 \text{ worker-days}$

Step 2: Calculate the number of days for 8 workers

$\text{Days required} = \frac{\text{Total Work}}{\text{New Number of Workers}}$ $= \frac{40}{8} = 5 \text{ days}$

Answer:

Option (c) 5 days is correct.

Would you like a further explanation or a different approach?

Related Questions:

1. If 6 workers can complete the task in 10 days, how many days will 12 workers take?
2. If 3 workers take 12 days to complete a task, how long will 9 workers take?
3. If a team of 5 workers completes a job in 15 days, how many workers are needed to finish in 5 days?
4. If a job requires 20 worker-days, how many days will it take for 5 workers?
5. What happens if the number of workers is reduced instead of increased?

Tip:

For problems like this, remember the inverse relationship between workers and time: more workers mean fewer days, and fewer workers mean more days!