To find the number of widgets made per hour for each machine, we can divide the total number of widgets each machine produced by the time it took.

Calculations

1. Machine A: $\frac{24 \text{ widgets}}{3 \text{ hours}} = 8 \text{ widgets per hour}$
2. Machine B: $\frac{80 \text{ widgets}}{8 \text{ hours}} = 10 \text{ widgets per hour}$
3. Machine C: $\frac{42 \text{ widgets}}{6 \text{ hours}} = 7 \text{ widgets per hour}$

Summary

• Number of widgets made per hour by Machine A: 8
• Number of widgets made per hour by Machine B: 10
• Number of widgets made per hour by Machine C: 7

Fastest Machine

The fastest machine is Machine B, as it has the highest production rate at 10 widgets per hour.

Would you like more details on how to calculate production rates?

Here are some related questions you might explore:

1. How would the result change if Machine A produced 30 widgets in 3 hours?
2. What is the average production rate of all three machines?
3. If Machine C worked 3 more hours, how many additional widgets would it produce at the same rate?
4. How much time would it take for Machine A to produce 40 widgets?
5. If Machine B operated for only 5 hours, how many widgets would it produce at the same rate?

Tip: To compare productivity, always divide the quantity produced by the time taken to find the rate per hour.