1. You have three identical barrels full of water. The first barrel has a drain outlet of 7 centimeters. The second one has 2 drain outlets of 5 centimeters each and the third has 3 drain outlets of 4 centimeters each. Assuming the originally had the same amount of water, in what order will the barrels empty?

2.Divide $12,937 (in whole $ increments) into a number of bags so that I can ask for any amount between $1 and $12,937, and you can give me the proper amount by giving me a certain number of these bags without opening them. What is the minimum number of bags you will require?

make it 3

3. A dog can run 20 miles in a 4 hour period before having to rest for 4 hours. He then can run 10% less each subsequent 4 hours (not including the rest time). He is standing outside of a forest. The forest is 337 miles long. How far can the dog run into the forest before he is too tired to move (round to the nearest mile)?

off my head, without probing too deeply, my guesses would be:

1. the two 5 cm holes drain first, followed by the 7 cm hole, followed by the three 4 cm holes.

2. you would need 14 bags.

3. i think it's kind of a trick question because the dog will always have some finite energy to keep moving and will in theory never tire completely, but in the limit that he maintains moving forever, he will move 200 miles into the forest.

Originally posted by davegage off my head, without probing too deeply, my guesses would be:

1. the two 5 cm holes drain first, followed by the 7 cm hole, followed by the three 4 cm holes.

2. you would need 14 bags.

3. i think it's kind of a trick question because the dog will always have some finite energy to keep moving and will in theory never tire completely, but in the lim ...[text shortened]... rever, he will move 200 miles into the forest.

i'm not positive if these are correct or not.

well, number 3 can't be correct if you read the riddle carefully.

The forest is 337 miles long, wich mean that the dog can't run more then 168,5 miles into the forest. Further then that, the dog will be moving away from the centre of the forest, wich means he'll move OUT of the forest from then.

Ya, I didn't catch that either. I was wondering whether he wanted us to be doing the math or whether we were supposed to be thinking along the llines of a koch curve.