Admins Question of the day... mohahahaha.

[Admin]

[FONT=arial, helvetica, sans-serif]In Gear[/FONT]

Here are 3 interlocking gears. The largest gear has 14 teeth, the middle gear has 12 teeth, and the smallest gear has 6 teeth. The largest and smallest gears can only move in a clockwise direction, while the middle gear can only move counterclockwise.

The gears are in their starting positions now. Suppose you turn the largest gear, and you want to keep the gears turning until they are back in their starting positions.
How many turns will each gear have to make in order to return all 3 gears to their original starting positions?

 

[Nelly]

Wadaya mean wadaya mean..... There is only one clockwise!! Sorry couldn't resist it.

btw havent got a clue lol

 

[Raid The Revenge]

The gear to turn ratio is 1:1 1/6:2 1/3

>Every time you turn the 1st gear, the 2nd rotates --- times, the 3rd rotates --- times.

In order for a gear to complete a full turn (return to its starting position) there can't be any fractions. Therefore I functioned the whole ratio with 6 to do so.

The new ratio is ------

If I turn the 1st gear -- times, the 2nd rotates -- times, the 3rd rotates -- times; all back into their original position.

 

[mikebike]

The largest gear will have made - turns, the middle gear - turns, and the smallest gear -- turns.

ahhh fella's the answer is supposed to be PM"d to the questioner...

I know I know ....who wants to send a PM to the principal:rockon:

 

[Raid The Revenge]

I wanted to show how I got the answer.

 

[OneTrack]

I cut and pasted your answer and PM'd it.:Sport:

 

[jsteinb95]

Not Authorized

Admin....you of all people should know better. Just because you're the admin, doesn't mean you have no boundaries.

 

[mikebike]

some body has to cover when you are derlict with your duties:rtfm::Flip::ban:

 

[Admin]

In Gear Answer

The answer is 6 : 7 : 14

The largest gear will have made 6 turns, the middle gear 7 turns, and the
smallest gear 14 turns.

Since 84 is the least common multiple of 6, 12, and 14 (the number of teeth
in the gears), then when 84 teeth in each gear have passed point A, all 3
gears will have completed a turn at the same time. The largest gear will
have completed 84 ÷ 14 = 6 turns, the middle gear 84 ÷ 12 = 7 turns, and the
smallest gear 84 ÷ 6 = 14 turns

pedwards89 was the only PM I recieved with the correct answer.... ( I only recieved 2 PM's)

Thanks for lettin me sub J!!

 

[jsteinb95]

The answer is 6 : 7 : 14

The largest gear will have made 6 turns, the middle gear 7 turns, and the
smallest gear 14 turns.

Since 84 is the least common multiple of 6, 12, and 14 (the number of teeth
in the gears), then when 84 teeth in each gear have passed point A, all 3
gears will have completed a turn at the same time. The largest gear will
have completed 84 ÷ 14 = 6 turns, the middle gear 84 ÷ 12 = 7 turns, and the
smallest gear 84 ÷ 6 = 14 turns

pedwards89 was the only PM I recieved with the correct answer.... ( I only recieved 2 PM's)

Thanks for lettin me sub J!!

Oh.....you were the substitute.......ok...I'll let it slide.

 

[jsteinb95]

Dennis, got anymore? Assembly line is mind numbing tonight.

he's only the sub, sorry.

 

[Raid The Revenge]

Are you going to take away my katana too?

 

[pedwards89]

The answer is 6 : 7 : 14


pedwards89 was the only PM I recieved with the correct answer.... ( I only recieved 2 PM's)

Thanks for lettin me sub J!!

Now I know why I spent 24 years in the education system

Do I get a a prize?

 

[jsteinb95]

Are you going to take away my katana too?

??????? what are you talking about?

 

[Admin]

I like the Katana....... Did anyone else PM me... I read the whole thread and It seems I should have recieved other PMs but I only Recieved 2 ??

 

[Admin]

Now I know why I spent 24 years in the education system

Do I get a a prize?

Yes the prize is you get to sub next time.
:Sport:

 

[jsteinb95]

since mike doesn't like my Q's of the day, I'm done.......everybody, have at it.

 

[Admin]

since mike doesn't like my Q's of the day, I'm done.......everybody, have at it.

Mike is just flirting with you... ( I think he has a crush

 

[mikebike]

Mike is just flirting with you... ( I think he has a crush

cute dennis.... very cute.... :Sport:

 

[mikebike]

since mike doesn't like my Q's of the day, I'm done.......everybody, have at it.

like we could get you to be quiet that easy.... :thumbup::Flip: