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To: Jeffrey S. Mitchell who wrote (25655)5/29/2001 4:39:25 PM
From: Janice Shell  Read Replies (1) | Respond to of 26163
 
Why would you want to cook a "nine minute egg"? That'd make it hard boiled, so precise timing really isn't necessary.

I suppose if you really HAD to, you could first use the seven minute hourglass. Then start the four minute hourglass and stop cooking the egg when half the sand was in the lower compartment.



To: Jeffrey S. Mitchell who wrote (25655)5/29/2001 5:10:52 PM
From: Arcane Lore  Respond to of 26163
 
Using only two sand-filled hourglasses, one that precisely measures seven minutes and the other four minutes, how can you use both to cook a nine minute egg?

- Jeff


Turn over both hourglasses simultaneously. When the sand runs out of the four minute hourglass turn it over. Likewise, when the seven minute hourglass has emptied, turn it over. Now when the four minute hourglass is again empty (after 8 minutes total) there will be one minute's worth of sand in the bottom of the seven minute hourglass. Turn it over and wait until all of the sand has emptied at 8+1 = 9 minutes.



To: Jeffrey S. Mitchell who wrote (25655)5/29/2001 5:17:11 PM
From: marcos  Respond to of 26163
 
ok, 1. start the 4min
2. when 4min completes, upend and start 7min - 4min mark
3. when 4min completes, upend - 8min mark
4. when 7min completes, upend - 11min mark
5. when 4min completes, upend - 12min mark
6. when 4min completes, upend - 16min mark
7. when 7min completes, upend - 18min mark

aw, let's try starting both
1. start both
2. 4min completes, upend - 4min mark
3. 7min completes, upend - 7min mark
4. 4min completes, upend - 8min mark
5. 4min completes, upend - 12min mark
6. 7min completes, upend - 14min mark
7. 4min completes, upend - 16min mark
8. 4min completes, upend - 20min mark
9. 7min completes, upend - 21min mark - ** - and here we have a 9min gap from step 5, the 12min mark

But the larger question remains - A nine-minute egg?? - wouldn't it just be easier to microwave a rock for thirty seconds to warm it up?

[edit] - ah, elegant - Message 15867247



To: Jeffrey S. Mitchell who wrote (25655)5/29/2001 5:21:20 PM
From: DizzyG  Respond to of 26163
 
Jeff, I believe this is just a timing thang...

At the beginning of each round, we turn over both timers

A = 7 minute Timer
B = 4 minute Timer

Round 1
A = 7
B = 4
Time Elapsed from round 1 = 4 minutes

Round 2
A = 3
B = 4
Time Elapsed from round 2 = 3 minutes

Round 3
Note: This is the round we start to boil the egg
A = 7
B = 1
Time Elapsed from round 3 = 1 minute

Round 4
A = 6
B = 4
Time Elapsed from round 4 = 4 minutes

Round 5
A = 2
B = 4
Time Elapsed from round 5 = 2 minutes

Round 6
A = 7
B = 2
Time Elapsed from round 6 = 2 minutes

Total time from Round 3 to Round 6 = 9 minutes

Take out your 9 minute egg

Diz-

[EDIT] Much better solution: Message 15867247



To: Jeffrey S. Mitchell who wrote (25655)5/29/2001 6:25:53 PM
From: SalemsHex  Read Replies (1) | Respond to of 26163
 
Jeff invited 17 people to his birthday party. He assigned each person a number from 2 to 18, keeping the number 1 for himself. When everyone was dancing, Jeff noticed that the sum of each couple's numbers was a perfect square. What is the number of Jeff's partner, and what numbers did the other couples have?