https://file.aiquickdraw.com/mathbot/file/1729827050008fhkmvgcc.jpg

Let's solve this step by step:

1. **For Machine A**: 
   - Widgets produced: 36
   - Time taken: 9 hours
   - Rate of production: \( \frac{36 \text{ widgets}}{9 \text{ hours}} = 4 \text{ widgets per hour} \)

2. **For Machine B**: 
   - Widgets produced: 30
   - Time taken: 6 hours
   - Rate of production: \( \frac{30 \text{ widgets}}{6 \text{ hours}} = 5 \text{ widgets per hour} \)

3. **For Machine C**: 
   - Widgets produced: 60
   - Time taken: 10 hours
   - Rate of production: \( \frac{60 \text{ widgets}}{10 \text{ hours}} = 6 \text{ widgets per hour} \)

### Summary:
- Machine A produces **4 widgets per hour**.
- Machine B produces **5 widgets per hour**.
- Machine C produces **6 widgets per hour**.

**Machine C** is the fastest, producing **6 widgets per hour**.

Do you need more details on this or have any further questions?  
Here are 5 related questions to consider:

1. If the machines ran for 24 hours, how many widgets would each produce?
2. What would happen if the time for Machine C was reduced to 8 hours?
3. How can you calculate the efficiency of each machine?
4. What if the machines had different downtimes? How would you account for that?
5. What is the combined widget production rate of all machines?

**Tip**: Always divide the number of outputs by the time to find the rate of production.

A factory tested three machines that make widgets. The table shows the number of widgets made by each machine and the time taken. Calculate the number of widgets made per hour for each machine and determine which one was the fastest.

Learn how to calculate the widget production rate for three different machines based on the time taken and total widgets produced. This problem involves using the rate formula and determining which machine is the fastest. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation