https://file.aiquickdraw.com/mathbot/file/17260425436423o7alz4r.jpg

The problem on the page reads:

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A robot can sort 12 boxes in twenty seconds. Working at this rate, how many boxes would be sorted in:

- a) one minute
- b) ten minutes
- c) one hour

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### Solution Process

1. **Sorting rate per second**:
   Since the robot sorts 12 boxes in 20 seconds, we can find out how many boxes it sorts per second by dividing 12 by 20:
   \[
   \frac{12}{20} = 0.6 \text{ boxes per second}.
   \]

2. **a) Number of boxes sorted in one minute (60 seconds)**:
   Multiply the rate per second by 60 seconds:
   \[
   0.6 \times 60 = 36 \text{ boxes}.
   \]
   So, the robot will sort 36 boxes in one minute.

3. **b) Number of boxes sorted in ten minutes (600 seconds)**:
   Multiply the rate per second by 600 seconds:
   \[
   0.6 \times 600 = 360 \text{ boxes}.
   \]
   So, the robot will sort 360 boxes in ten minutes.

4. **c) Number of boxes sorted in one hour (3600 seconds)**:
   Multiply the rate per second by 3600 seconds:
   \[
   0.6 \times 3600 = 2160 \text{ boxes}.
   \]
   So, the robot will sort 2160 boxes in one hour.

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Let me know if you need any further explanation! Here are 5 additional related questions to extend your understanding:

1. How would the number of boxes change if the sorting speed increased to 15 boxes in 20 seconds?
2. If the robot worked for half an hour, how many boxes would it sort?
3. How long would it take the robot to sort 1000 boxes?
4. What is the sorting rate in boxes per minute?
5. How many robots would you need to sort 720 boxes in 10 minutes?

### Tip:
When solving rate problems, always find the rate per unit of time (e.g., per second or per minute), as it helps in calculating for different time intervals.

A robot can sort 12 boxes in twenty seconds. Working at this rate, how many boxes would be sorted in one minute, ten minutes, and one hour?

Calculate how many boxes a robot can sort based on a given rate. In this problem, a robot sorts 12 boxes in 20 seconds. Learn how to determine the number of boxes sorted in one minute, ten minutes, and one hour using rate calculations and time conversions. Suitable for students in Grades 6-8.

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