# Thread: A little maths problem for you

1. ## A little maths problem for you

The eggs in a basket doubled every minute. After an hour, the basket was full. When was the basket full to the half?

2. duh... that's a tough one I won't answer, I'll leave it for others to think over for now!

3. Why does this sound like hw?

111011 minutes
Figure that out and u will get the answer.

4. Well, let me put it this way; our maths teacher gave us the question, it took about 2-3 minutes till I solved it

People started with variables for the time increasing, and almost everyone said the answer was 11110 minutes.

5. Too easy, but it did take me 59 minutes to figure it out.

6. Impossible. This thread was posted 05:35pm, you replied 06:27pm.

7. >> Impossible. This thread was posted 05:35pm, you replied 06:27pm.
hmm try looking at that post again. especialy the number. and compare it with golfinguy4 posts

/*damn, should have wayted 5 min to post this*/

8. I think TGM is trying to hint at the answer. if it doubles, it is half full at 59 min, so when half the basket is full and then it is doubled you have two halves which eaquel a whole

I can't spell can I

9. Bingo!

10. olrite, you math masterminds, here is a similar problem for you:

A big water tank has a hole. Every hour, half of the water that is remaining leaks out. If the tank had 2000 L of water at 12:00 PM, what would be the exact time when all the water is gone?

11. I have another one, but i will save it until someone answers the first one. The next one is a bit harder... bit of a challenge.

12. >A big water tank has a hole. Every hour, half of the water that is remaining leaks out. If the tank had 2000 L of water at 12:00 PM, what would be the exact time when all the water is gone?

I believe that would take an infinite amount of time (or until there was one water molecule left).

13. I second Sorensen's response

14. I have another one, but i will save it until someone answers the first one. The next one is a bit harder... bit of a challenge.
Anyways, here is my problem for you
Here is the definition you need

The function r(z) is equal to the sum of 1/(n^z), where n=1,2,3,...infinity. To those of you familiar with sigma notation (that funny Greek 'E'), you would have 'n=1' below the sigma, the infinity sign above the sigma, and 1/(n^z) to the right of the sigma. Here is a pathetic graphical representation.

infinity
---
\ 1/(n^z)=r(z)
/
---
n=1

So here is the problem:
When z is a complex number of the form z=a+it [i=sqrt(-1)], do all solutions to the equation r(z)=0 have a=0.5? (a=real part of z)
Constraint: candidate solutions must have a nonzero imaginary part ie, 't' != 0. Explain the rationale behind your answer.
Anybody have any ideas?

15. Dude, what class is this?