In a factory, each employee can make 40 chicken pies in one hour. How long will it talk (a) 6 people to make 40 pies.(b) 10 people to make 600 pies

Let's break down each part of the problem:

### Part (a): 
**How long will it take 6 people to make 40 pies?**

- Each person can make 40 pies in one hour.
- If 6 people are working together, their combined rate of production is:
  
  \[
  6 \times 40 = 240 \text{ pies per hour}.
  \]
  
  To find out how long it will take them to make 40 pies, we use the formula:

  \[
  \text{Time} = \frac{\text{Total Pies}}{\text{Rate of Production}} = \frac{40}{240} = \frac{1}{6} \text{ hours}.
  \]

  So, it will take them **1/6 hours**, or approximately **10 minutes**.

### Part (b): 
**How long will it take 10 people to make 600 pies?**

- Each person can make 40 pies in one hour.
- If 10 people are working together, their combined rate of production is:

  \[
  10 \times 40 = 400 \text{ pies per hour}.
  \]
  
  To find out how long it will take them to make 600 pies, we use the same formula:

  \[
  \text{Time} = \frac{\text{Total Pies}}{\text{Rate of Production}} = \frac{600}{400} = 1.5 \text{ hours}.
  \]

  So, it will take them **1.5 hours**, or **1 hour 30 minutes**.

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Would you like more details or have any questions?

Here are 5 related questions to think about:
1. How long would it take 5 people to make 500 pies?
2. If 8 people can work for 4 hours, how many pies can they make?
3. How many pies can 12 people make in 2 hours?
4. If the rate of pie production drops by 10%, how long would it take 10 people to make 600 pies?
5. How long will it take 4 people to make 320 pies?

**Tip:** When dealing with work problems, it’s often easier to think in terms of the total rate of production by multiple workers!

In a factory, each employee can make 40 chicken pies in one hour. How long will it take (a) 6 people to make 40 pies, (b) 10 people to make 600 pies?

Learn how to calculate the time needed for workers in a factory to produce a certain number of pies. This problem involves the rate of work and unit conversion concepts, perfect for students in Grades 6-8. Detailed solutions for finding the time required for 6 people to make 40 pies and 10 people to make 600 pies.

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