Bob's 9 Minute Hourglass Challenge

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In summary, Bob can measure 9 minutes with his 4 and 7 minute hourglasses by starting them together and flipping them at certain intervals, ultimately waiting for the remaining time to elapse in the 7 minute hourglass. This solution wastes no time and measures 9 minutes in one go.
  • #1
alexmahone
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Bob owns a couple of hourglasses -- one is a 4 minute hourglass and the other is a 7 minute hourglass. If Bob wants to measure 9 minutes, how could he do it?
 
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  • #2
Alexmahone said:
Bob owns a couple of hourglasses -- one is a 4 minute hourglass and the other is a 7 minute hourglass. If Bob wants to measure 9 minutes, how could he do it?

Start then together, turn the 4 when it is emply. When the 7 is empty start timing the nine minutes, at this point the four minute glass has 1 minute to go. When empty turn it, 5 minutes have elapsed. Turn it again, and when empty 9 minutes have elapled.

CB
 
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  • #3
CaptainBlack said:
Start then together, turn the 4 when it is emply.

Now there are 3 minutes remaining in the 7.

When the 7 is empty turn the 4.

When the 7 is empty there is 1 minute remaining in the 4. So why would you want to turn it?

At this point it has 1 minute to go...
 
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  • #4
Alexmahone said:
Now there are 3 minutes remaining in the 7.
When the 7 is empty there is 1 minute remaining in the 4. So why would you want to turn it?

Typo, now corrected (I hope)

CB
 
  • #5
CaptainBlack said:
Start then together, turn the 4 when it is emply. When the 7 is empty start timing the nine minutes, at this point the four minute glass has 1 minute to go. When empty turn it, 5 minutes have elapsed. Turn it again, and when empty 9 minutes have elapled.

CB

Okay, that works but it's a little inefficient as it wastes the first 7 minutes. There's a better solution.
 
  • #6
Hint: There is a solution that wastes no time and measures 9 minutes in one go.
 
  • #7
Start the two together. When the four is empty, flip it (four minutes elapsed). When the seven is empty, flip it (7 minutes). When the four is empty again flip the seven (8 minutes). Wait then the remaining minute for the seven to empty.
 
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  • #8
Alexmahone said:
Hint: There is a solution that wastes no time and measures 9 minutes in one go.

yes +1
 

FAQ: Bob's 9 Minute Hourglass Challenge

What is "Bob's 9 Minute Hourglass Challenge"?

"Bob's 9 Minute Hourglass Challenge" is a scientific experiment designed by Bob to test the accuracy and precision of an hourglass timer. The challenge involves flipping the hourglass twice and trying to stop it at exactly the 9-minute mark.

How does the challenge work?

The challenge requires an hourglass timer that measures 9 minutes. It is set up by flipping the hourglass twice and trying to stop it at exactly 9 minutes. Participants can use any method to try and stop the hourglass, such as tapping the glass or blowing on the sand.

Can anyone participate in "Bob's 9 Minute Hourglass Challenge"?

Yes, anyone can participate in the challenge as long as they have access to a 9-minute hourglass timer. It is a fun and simple experiment that anyone can try at home.

What is the purpose of the challenge?

The purpose of the challenge is to test the accuracy and precision of an hourglass timer. By attempting to stop the timer at exactly 9 minutes, participants can see how close they can come to the target time and how consistent their results are.

What can we learn from "Bob's 9 Minute Hourglass Challenge"?

Through this challenge, we can learn about the accuracy and precision of hourglass timers. It can also teach us about time management and the importance of having accurate measurements in scientific experiments.

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