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DEC #5: Bridge Limit Mystery Cache

Hidden : 7/27/2013
Difficulty:
1.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:


The Cache is not at the listed coordinates.

 

My father was a truck driver and I always wondered why there was a limit to how much weight his truck was allowed to carry.  The answer to that question is the Federal Bridge Formula.  You can read all about it on Wikipedia.

The formula is used to calculate the maximum weight a vehicle can carry based on the number of axles (n) and the distance between any two axles (l).

w = 500 \left ( \frac{l \cdot n}{n-1} + 12n + 36 \right )

  • w = the maximum weight in pounds that can be carried on a group of two or more axles to the nearest 500 pounds (230 kg).
  • = spacing in feet between the outer axles of any two or more consecutive axles.
  • n = number of axles being considered.

In order to find this cache you are going to have to calculate the maximum weight allowed for a vehicle.  The vehicle will be 5 axle semi-tractor trailer that is the norm in this area.  Take the thousands digit from the four weights and put them into the following coordinates.

N 42 30.ABC  W 087 56.DBA

 

  1. A = Maximum weight by law
  2. B = 26 feet
  3. C = 42 feet
  4. D = 18 feet

 

You can check your answers for this puzzle on GeoChecker.com.

Additional Hints (Decrypt)

Gur jvxv vf lbhe sevraq.

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)