A team of 5 people can complete a task in 10 days. How long will it take a team of 8 people to complete the same task?

Solution:
1. Given:
- A team of 5 people can complete the task in 10 days.

2. Calculate the total amount of work in person-days:
- Total work = 5 people * 10 days = 50 person-days.

3. Determine the time required for a team of 8 people to complete the same amount of work:
- Let t be the number of days taken by 8 people, then:
8 \text{ people} * t \text{ days} = 50 \text{ person-days}

4. Solve for t:
t = \frac{50}{8}
t = 6.25 \text{ days}

The number of days it will take for 8 people to complete the task is 6.25 days.