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Brain teasers

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  • Member since
    May 2003
  • From: Greenville, NC
Brain teasers
Posted by jtilley on Sunday, July 13, 2014 9:47 PM

The following two puzzlers have nothing to do with modeling, but they came to mind when I was typing a post in the Ships forum. I've tripped up dozens of college students with them. If you don't like such things, feel free to quit reading.

1. An old-fashioned LP record is spinning on a turntable. (Remember those?) It turns at 33 1/3 rpm. From beginning to end the record plays for 23 minutes. The record is 12 inches in diameter. The label in the middle is 2 1/2 inches in diameter.

How many grooves are on that side of the record?

2. A two-volume set of books is sitting on a shelf. The books are placed in the normal way, as any librarian would put them. The pages of Vol.I are 1 1/2 inches thick. The pages of Vol. II are 1 3/4 inches thick. Each of the handsome leather covers is 1/8 inch thick.

Along comes a bookworm, named Basil. Basil starts at the very first page of Vol. I and munches his way through to the very last page of Vol. II.

How far has Basil gone?

i'll check occasionally for answers. The first right ones get to split a collection of antique pop sickle sticks.

Youth, talent, hard work, and enthusiasm are no match for old age and treachery.

  • Member since
    February 2011
  • From: St louis
Posted by Raualduke on Sunday, July 13, 2014 10:08 PM

Question 1 the answer is one,question 2 the answer is 3 1/2

  • Member since
    October 2004
  • From: Northern Virginia
Posted by ygmodeler4 on Sunday, July 13, 2014 10:41 PM

I'm pretty sure LP records only have one continuous groove....and unless Basil has been walking and reading, he hasn't gone anywhere

-Josiah

  • Member since
    May 2003
  • From: Greenville, NC
Posted by jtilley on Sunday, July 13, 2014 11:47 PM

Right on the first one. Most people make it more complicated than it is.

Basil does indeed walk and eat at the same time. He does move.

Youth, talent, hard work, and enthusiasm are no match for old age and treachery.

  • Member since
    September 2013
Posted by Les.61 on Sunday, July 13, 2014 11:47 PM

1 groove on each side, (assuming it should read 1 1/2 inches and not incessants)  3 1/2 inches but that means he started inside the book and did not eat through the front cover.

  • Member since
    February 2011
  • From: St louis
Posted by Raualduke on Sunday, July 13, 2014 11:52 PM

Yep, got me on that one,. Basil is a human being. He didn't go anywhere

  • Member since
    May 2003
  • From: Greenville, NC
Posted by jtilley on Sunday, July 13, 2014 11:53 PM

"Incessants" is one of this infernal phone's most distinguished stunts to date.

Nobody's gotten Basil's distance yet.

Youth, talent, hard work, and enthusiasm are no match for old age and treachery.

  • Member since
    September 2013
Posted by Les.61 on Sunday, July 13, 2014 11:58 PM

1 grove and 2/8th of an inch as the 1st volume would be to the right of the 2nd volume and he would only eat through the 2 covers?

  • Member since
    March 2005
  • From: near Nashville, TN
Posted by TarnShip on Monday, July 14, 2014 12:29 AM

the first volume would be to the left of the second volume,,,,,,but, you still came up with the proper measurement

Books are stacked left to right on a bookshelf

Rex

almost gone

  • Member since
    October 2004
  • From: Northern Virginia
Posted by ygmodeler4 on Monday, July 14, 2014 12:40 AM

Because when on a bookshelf the books are spine out so to speak so the front cover of Vol 1 is right next to Vol 2

I'd never heard of a bookworm being anything other than a person lol, guess I didn't make it complicated enough eh? ;)

-Josiah

  • Member since
    September 2013
Posted by Les.61 on Monday, July 14, 2014 12:43 AM

A boat sits in the harbour with a rope ladder handing over the side and the bottom rung just touches the water. Each rung is 6 inches apart. The tide rises 20 inches. How many rungs will be underwater?

  • Member since
    March 2005
  • From: near Nashville, TN
Posted by TarnShip on Monday, July 14, 2014 12:45 AM

ROFL Les,,,,,,,,that is a good one.

Rex

almost gone

  • Member since
    May 2003
  • From: Greenville, NC
Posted by jtilley on Monday, July 14, 2014 1:19 AM

None - assuming the boat is floating.

Youth, talent, hard work, and enthusiasm are no match for old age and treachery.

  • Member since
    September 2013
Posted by Les.61 on Monday, July 14, 2014 2:00 AM

Correct

  • Member since
    September 2012
Posted by GMorrison on Monday, July 14, 2014 8:29 PM

Basil went 1/4", that is through the front cover of Vol. 1 and the back cover of Vol. 2.

 Modeling is an excuse to buy books.

 

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