Using a 5-minute and 8-minute hourglass timers, how can you measure 1 minute? solve and show the solution

To measure 1 minute using a 5-minute and 8-minute hourglass, follow these steps:

### Step-by-step solution:
1. **Start both hourglasses (5-minute and 8-minute) at the same time.**
   - Both the 5-minute and 8-minute hourglasses are running.
   
2. **When the 5-minute hourglass runs out, flip it immediately.**
   - At this point, 5 minutes have passed, and the 8-minute hourglass still has 3 minutes left.
   
3. **When the 8-minute hourglass runs out, flip it immediately.**
   - Now, a total of 8 minutes have passed, and the 5-minute hourglass has 2 minutes of sand left in it.

4. **Wait until the 5-minute hourglass runs out (this takes 2 more minutes).**
   - At this point, a total of 10 minutes have passed, and you immediately flip the 5-minute hourglass again. 
   
5. **Now, let the 5-minute hourglass run until 1 minute of sand has fallen (stop it after 1 minute).**
   - Since you just flipped the 5-minute hourglass, you can wait for exactly 1 minute's worth of sand to pass.

In this way, you've successfully measured 1 minute using the two hourglasses!

Would you like further details, or do you have any questions about this? Here are 5 related questions to deepen your understanding:

1. How would you measure 3 minutes using the same hourglasses?
2. What if you had a 7-minute hourglass instead of an 8-minute one? How would that change the process?
3. Can you use the same method to measure 4 minutes? If yes, how?
4. How could you measure 2 minutes with these hourglasses?
5. What mathematical principles are involved in using hourglasses for time measurement?

**Tip:** When using multiple timers, it's often helpful to track the overlap or difference between their time intervals!

Using a 5-minute and 8-minute hourglass timers, how can you measure 1 minute? Solve and show the solution.

Discover how to measure exactly 1 minute using a 5-minute and 8-minute hourglass with a step-by-step guide. This problem covers time measurement concepts and teaches how to track overlapping intervals effectively. Suitable for students in Grades 6-8.

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