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May 22, 2005

Head-slapper

Here's a puzzle I read in A Beautiful Mind — wow, is the movie a lie! — as expressed at The Ultimate Puzzle Site:

Consider a road with two cars, at a distance of 100 kilometers, driving towards each other. The left car drives at a speed of forty kilometers per hour and the right car at a speed of sixty kilometers per hour. A bird starts at the same location as the right car and flies at a speed of 80 kilometers per hour. When it reaches the left car it turns its direction, and when it reaches the right car it turns its direction again to the opposite, etcetera.

The question is: How far does the bird fly?

I'm going to give you two hints:

FIRST HINT: If you're filling up a page with complex formulae, you're going wrong.

Scroll down for the next spoiler. (This is for those of you readi1ng this as an RSS feed.)

 

 

 

 

 

SECOND HINT: Select between the X's to see the hint:
X     The two cars are an hour apart     X

Scroll down for solution.

 

 

 

 

SOLUTION: Select between the X's to see the answer:
X The cars take an hour to reach each other. That's supposed to be the easy part. That means the bird is flying for an hour at 80km/hour. Hence, the bird flies 80km. X

No, I didn't get the answer. [Technorati tag: puzzle]

Posted by D. Weinberger at May 22, 2005 12:00 PM


Comments

You left out the joke - "It was a simple series".

Posted by: Seth Finkelstein | May 22, 2005 12:29 PM


actually. If the etcetera is real, the bird and the cars will go up and down forever

Posted by: Gianluca | May 22, 2005 12:45 PM


Someone's got to come up with a way to make that "select between the X's" trick work with RSS. :)

Posted by: Greg Yardley | May 22, 2005 12:49 PM


Good point, Greg. I've put some spacers in.

Posted by: David Weinberger | May 22, 2005 01:14 PM


I used my avian GIS 2.0 system to create a complex model of the bird in flight. After 45 minutes it collided with a 55 foot long haul truck... splat. So the answer is ".75 x 80 = 60km, then splat."

Posted by: fp | May 22, 2005 11:19 PM


You know what's annoying? It didn't take long to realize that the cars meet after an hour. But it took until puzzling a bit then giving up to see the actual answer. The hard part isn't any math - it's connecting that the bird flies until the cars meet, and since you've got its speed, that's that. My brain refused to accept that that much flying-back-and-forth space could be encapsulated in so little time - the space between when the bird reaches the left car at 3 hours some-odd, and when the cars meet less than 45 minutes later. My brain insisted it needed to know when the bird meets the left car, before thinking farther ahead. This was useful though, because I've been thinking recently about the ways I think about math problems, and how usually I can know the answer if I allow it to be a simpler problem, but how hard that is to actually do.

Posted by: Erica | May 24, 2005 12:52 PM


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