it takes a team of 9 builders 10 days to build a wall. how many extra days will it take a team of 5 builders to builders the same wall

The problem involves determining how much longer it will take a team of 5 builders to complete the same task that 9 builders can finish in 10 days. This can be solved using the concept of work-rate.

### Step-by-step solution:

1. **Work Rate of the Original Team:**
   - 9 builders can build the wall in 10 days.
   - Therefore, the total work required is equivalent to 9 builders working for 10 days:  
     \( \text{Total work} = 9 \text{ builders} \times 10 \text{ days} = 90 \text{ builder-days} \).

2. **Work Rate of the Second Team:**
   - Now, the team has 5 builders, and the total work required is still 90 builder-days.

3. **Calculating the Time for 5 Builders:**
   - If 5 builders work each day, the number of days required is:  
     \[
     \text{Days required} = \frac{\text{Total work}}{\text{Number of builders}} = \frac{90}{5} = 18 \text{ days}.
     \]

4. **Finding the Extra Days:**
   - The team of 5 builders will take 18 days, while the team of 9 builders took 10 days.
   - Therefore, the number of extra days is:  
     \[
     \text{Extra days} = 18 - 10 = 8 \text{ extra days}.
     \]

### Final Answer:
It will take the team of 5 builders **8 extra days** to build the same wall.

Would you like more details on this calculation?

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Here are 5 related questions to deepen your understanding:

1. How long would it take a team of 3 builders to build the same wall?
2. What if the team of 5 builders worked 2 extra hours per day? How would that affect the time?
3. If the 9 builders increased their efficiency by 20%, how many days would they take to build the wall?
4. How many builders would be needed to finish the wall in 7 days?
5. If a team of 12 builders starts the project but 3 builders leave halfway through, how long will the total project take?

**Tip:** When solving work-rate problems, always start by calculating the total work involved, then use the rates of each team or person to find the time needed.

it takes a team of 9 builders 10 days to build a wall. how many extra days will it take a team of 5 builders to build the same wall?

Explore how to determine the number of extra days it will take a team of 5 builders to complete a wall, originally built by 9 builders in 10 days. This problem applies work-rate and ratio concepts, suitable for students in Grades 6-8.

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