Jump to content


Welcome to BrainDen.com - Brain Teasers Forum

Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account.
As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends.

Of course, you can also enjoy our collection of amazing optical illusions and cool math games.

If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top.
If you have a website, we would appreciate a little link to BrainDen.

Thanks and enjoy the Den :-)
Guest Message by DevFuse
 

Photo
- - - - -

Time Traveling Ant


Best Answer Nins_Leprechaun, 28 December 2013 - 12:13 AM

Wording made some of the rules sort of shaky.

Spoiler for
Go to the full post


  • Please log in to reply
5 replies to this topic

#1 TimeSpaceLightForce

TimeSpaceLightForce

    Senior Member

  • Members
  • PipPipPipPip
  • 631 posts
  • Gender:Male

Posted 26 December 2013 - 07:25 PM

It is 6 o'clock ..the ant from the tip of the clock's half foot Hour-hand must travel home to12 o'clock mark under the  tip of 1ft Second-hand.

The clocks Minute hand is  9 inches.

The ant travels 1ft/min along the hands without stopping and reverses its direction when reaching the pivot end or the tip of the hands .

It can shift to any hand that is directly above or below it while resuming direction.

How long shall it take for the ant to arrive home?


  • 0

#2 Nins_Leprechaun

Nins_Leprechaun

    Junior Member

  • Members
  • PipPip
  • 37 posts

Posted 28 December 2013 - 12:13 AM   Best Answer

Wording made some of the rules sort of shaky.
Spoiler for

Edited by Nins_Leprechaun, 28 December 2013 - 12:23 AM.

  • 0

#3 harey

harey

    Junior Member

  • Members
  • PipPip
  • 81 posts
  • Gender:Male

Posted 28 December 2013 - 07:10 PM

Wording made some of the rules sort of shaky.

Spoiler for

  • 0

#4 TimeSpaceLightForce

TimeSpaceLightForce

    Senior Member

  • Members
  • PipPipPipPip
  • 631 posts
  • Gender:Male

Posted 29 December 2013 - 05:58 PM

@ harey : yes all clocks hands are moving..but cant reach home via minute hand..

 

@nins: it must walk more than 6 in along hour hand ..to shift to the second hand..


Edited by TimeSpaceLightForce, 29 December 2013 - 06:06 PM.

  • 0

#5 Nins_Leprechaun

Nins_Leprechaun

    Junior Member

  • Members
  • PipPip
  • 37 posts

Posted 29 December 2013 - 08:22 PM

@ harey : yes all clocks hands are moving..but cant reach home via minute hand..
 
@nins: it must walk more than 6 in along hour hand ..to shift to the second hand..

I must be missing something then. If the clock starts at exactly 6 then in approx 30 seconds the second hand would overlap the hour hand. In that time the ant will travel 6 inches, the length of the hour hand. Yes there will be ever so slightly more than 30 seconds for this overlap to occur, but that fractional increase is irrelevant.
If you could clarify the problem with my reasoning here it would be appreciated.

Edit allow me to explain my interpretation of your description so you may correct any mistakes.
A clock has a 12 inch second hand, 9 inch minute hand and 6 inch hour hand.
The time is exactly 6 (hour hand at 6, second and minute hands at 12).
The ant is on the tip of the hour hand.
The ant must get to the tip of the second hand when it is pointed exactly at 12.
The ant moves 12 inches a minutes up and down a clocks hand, turning around when it reaches the tip or pivot of the hand it is on.
The ant may switch hands any time they overlap with no change to his current direction or speed of travel.

Edited by Nins_Leprechaun, 29 December 2013 - 08:31 PM.

  • 0

#6 TimeSpaceLightForce

TimeSpaceLightForce

    Senior Member

  • Members
  • PipPipPipPip
  • 631 posts
  • Gender:Male

Posted 30 December 2013 - 03:43 PM

Wording made some of the rules sort of shaky.

Spoiler for

Yes 3 minutes is correct..ant walks on the hour hand for 30.0417secs,

 

then walks on the second hand for 30.9752 secs,

then walks on the minute hand 61.0169 secs,

 

then walks again on the second hand 57.9661secs..


  • 0




0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users