Math Puzzles!

[quote]Steel Nation wrote:
pookie wrote:
Erasmus wrote:
I’ve got one for ya

A jar with germs

In a jar with 1 germ, the germ splits into two, two split into four germs , etc.
It takes ONE germ 1 hour to split so many time so that the jar is full.
How long does it take for TWO germs to fill the jar???

1 hour minus the time for 1 split.

pookie got it.

One germ:

2^(60 minutes/time for one split = t) = # of germs to fill jar

Two germs:

2^(x/t) + 2^(x/t) = # of germs to fill jar

So:
2*2^(x/t) = 2^(60/t)

Take ln of both sides:

ln(2) + (x/t)ln(2) = (60/t)ln(2)

Divide both sides by ln(2):

1 + (x/t) = 60/t

Multiply both sides by t:

t + x = 60

x = 60 - t[/quote]

Nerd.

DB

[quote]dollarbill44 wrote:
Steel Nation wrote:
pookie wrote:
Erasmus wrote:
I’ve got one for ya

A jar with germs

In a jar with 1 germ, the germ splits into two, two split into four germs , etc.
It takes ONE germ 1 hour to split so many time so that the jar is full.
How long does it take for TWO germs to fill the jar???

1 hour minus the time for 1 split.

pookie got it.

One germ:

2^(60 minutes/time for one split = t) = # of germs to fill jar

Two germs:

2^(x/t) + 2^(x/t) = # of germs to fill jar

So:
2*2^(x/t) = 2^(60/t)

Take ln of both sides:

ln(2) + (x/t)ln(2) = (60/t)ln(2)

Divide both sides by ln(2):

1 + (x/t) = 60/t

Multiply both sides by t:

t + x = 60

x = 60 - t

Nerd.

DB[/quote]

Nerd? No.
Show off? Kinda :stuck_out_tongue:

It is a lot easier to solve it logically then mathematically IMO anyways. Well, you could have at least used simpler math.

[quote]Rico Suave wrote:

Nerd? No.
Show off? Kinda :stuck_out_tongue:

It is a lot easier to solve it logically then mathematically IMO anyways. Well, you could have at least used simpler math. [/quote]

Can it be done with simpler math? That was the first way I tried it.

EDIT: Holy fucking shit. Nevermind. I’m an idiot.

[quote]pookie wrote:
Erasmus wrote:
I’ve got one for ya

A jar with germs

In a jar with 1 germ, the germ splits into two, two split into four germs , etc.
It takes ONE germ 1 hour to split so many time so that the jar is full.
How long does it take for TWO germs to fill the jar???

1 hour minus the time for 1 split.
[/quote]

Exactly

Ofcourse I failed to mention that one germ splits into two in one minute

[quote]Lancey wrote:
Erasmus wrote:
Age of the mother

On a sunny day a boy asks his father how old his mother is.
His father replies:" When I first met your mother I was TWICE the age of your mother.
But the next year I was only 1.5 times as old. How about that boy?"

The father is 44

How old is his mother?

(HINT: his parents were young when they met)

[/quote]

Correct

Number of Hookers

3 pimps are talking about how many hookers they each have.

Steel Nation: dollarbill44 has the most!
dollarbill44: If gave me one hooker, I’d have twice as many as Steel Nation does.
Lancey: It’d be better if dollarbill44 gave me two hookers>
Then we’d all have the same amount.

How many hookers are there in total

This one is my favorite

_ is 1,000 times .

Fill in the blanks with a single letter of the alphabet

[quote]Erasmus wrote:
Number of Hookers

3 pimps are talking about how many hookers they each have.

Steel Nation: dollarbill44 has the most!
dollarbill44: If[/quote] (I’m assuming Lancey here) [quote]gave me one hooker, I’d have twice as many as Steel Nation does.
Lancey: It’d be better if dollarbill44 gave me two hookers>
Then we’d all have the same amount.

How many hookers are there in total[/quote]

Nine.