Archive > The Amazing Race
EP3 Title : I'm in Russia Playing with the Dolls
gingerman28:
--- Quote from: Chateau d If on March 08, 2006, 06:22:58 PM ---Count the matryoshka dolls.
Area:
Using the picture of the stage I estimated that the three tables have diameters of 21.0, 10.3, and 3.3 feet (the accuracy is artificial, its just an artifact of using a ruler against my monitor). The width of the ring-shaped tables is 1.7 feet. The gap or missing part of each ring is about 2 feet wide. All together the table top area is 157 square feet.
Density:
I see 12, 8, 7, and 6 dolls that have diameters of about one half their heights. I arranged on the 157 square feet of tabletop (gedanken experiment here) 58 of the 12 dolls, 88 of the 8 dolls, 100 of the 7 dolls, and 117 of the 6 dolls with a spatial coverage density of 80%. That means that, looking down, 80% of the table top is covered by a doll.
How Many Dolls:
Looking at the shot of dolls next to Lake I estimated 7 dolls inside the 6 doll. From that, just say that the 7 is 10 dolls, the 8 is 12 dolls, and the 12 is 14 dolls. It does not look like these dolls go to the extreme of the example I posted earlier. Working it all out there are 3804 dolls. Taking all the dolls apart would involve 3441 acts of separation.
How long to find a clue:
Assume that there are 9 clues hidden in the collection. Then the expected average number of separations a team would have to do is 382. Say that it takes 1 second to separate a doll. Then one racer should find a clue in 382 seconds or just over 6 min. Half that time for both doing the task. If it takes longer that one second to get a doll apart then the expected time gets longer in proportion. Sometimes they get stuck and it is hard to open them.
--- End quote ---
But the clue may be in the last 9 dolls so that you might have to go through 3795 dolls before you succeeded. Also there may be more than nine clues since if there were only 9, the last teams would have tremendously greater odds facing them. This happened to our nice girls in the hayfield in Norway; they spent hours and never found the last clue in one of those hay bales.
Jeffrey Scott:
Yea, wasn't it sad to see them spend so much time on the bales of hay? Especially since they got there so early. I'm thinking that the clue was uncovered but not discovered. Maybe she didn't spend enough time searching the hay after it was unbailed.
banzai:
--- Quote from: puddin on March 08, 2006, 11:23:49 PM --- << flipped ,which would change the time 7:35
--- End quote ---
Eric/Jeremy checked in @ 7:35pm so they didn't do a good job at the detour. They know how to swim so they can do the diving roadblock fast.
Chateau d If:
GMan
--- Quote ---But the clue may be in the last 9 dolls so that you might have to go through 3795 dolls before you succeeded. Also there may be more than nine clues since if there were only 9, the last teams would have tremendously greater odds facing them. This happened to our nice girls in the hayfield in Norway; they spent hours and never found the last clue in one of those hay bales.
--- End quote ---
I'm thinking that if their separation speed is one per second then the fast finishers will be coming out in 3 or 4 minutes. If they have Marshall's luck (think chocolate) then they will have to open 80% of the dolls and that works out to 2753 separations which would take 23 min. If the dolls are fussy (think padlocks) and it takes 3 sec per separation then we are looking at 1 hour and 9 min. These times are corrected for having both racers working on the task.
banzai:
but then again, in this scene, Eric or Jeremy is still in the daytime. It's not very far from the pitstop.
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