This is a series of 19 puzzle caches in the shape of a question mark on the map of Burgess Hill. All hides are within (or on the very edge of) the urban area of Burgess Hill, but I have tried to keep them away from places overlooked by buildings.
A Geocacher decided to try and find out which of two different approaches was best for racing a trackable from A to B. She deposited two trackables (one was a red tortoise and one a blue hare) at Lands End in GC2P1ZB “Most SW cache” and made their destination John O Groats , GC3DK6D “Stormy Waters” cache.
The instruction on the tortoise trackable was as follows: I am a racing trackable headed for John O Groats. Please pick me up and move me as quickly as possible towards John O Groats. I want to be moved, as often as possible, so please pick me up, even if you can only help me on my way a short distance, or only vaguely in the right direction.
As a result the red tortoise stayed in each cache for only 2 days. It was in transit for only 2 days between each cache. The average distance it was moved was 20km. The average angle between the direction of movement and the direction to John O Groats was 55 degrees.
The instruction on the Hare trackable was as follows: I am a racing trackable headed for John O Groats. Please pick me up if you can definitely move me a good distance towards my goal in the near future. Please leave me in place if you’re not certain that you can help me on my way.
As a result the blue Hare stayed in each cache for 2 weeks. It was in transit for 4 days between each cache. The average distance it was moved was 60km. The average angle between the direction of movement and the direction to John O Groats was 35 degrees.
So in this puzzle just assume that the tortoise always makes an average tortoise move and shows up in an new cache every 4 days, and the Hare always makes an average Hare move and shows up in a new cache every 18 days. Assume that the last time interval between moves as they approach their destination is just the same as all the others, even though the distance left to move is less than an average move. Assume their last slightly shorter than average move is directly to the final cache, no angles.
The trackables are placed in the starting cache on 20th June 2012. On 28th Feb 2013 both trackables are in caches (i.e. not between caches). How much closer to John O Groats is the trackable that is in the lead, than the trackable that is trailing. Write the answer in km with 1 decimal place. AB.C
How many days after setting off does the winner arrive = DEF
How many days after the leader does the trailing trackable arrive. GH
The cache is at
N 50 5C.(C+D)(E+D)H, W 000 0(B+E).ACF
OK. There are a couple of ways to interpret this puzzle. if you have gone with the more complex option, which I was not really intending, you will need to plug your answers into this formula instead.
N 50 5F.(A+B)(F+C)(E-B), W 000 0(B+D).DF(H-A)