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Asteroid walk (Posted on 2016-04-19) Difficulty: 3 of 5

Seven astronauts landed on a small spherical asteroid. They wanted to explore it and walked in different directions starting from the same location. All used the same walking algorithm: walk x kilometers forward, turn 90 degrees left and walk another x kilometers, turn 90 degree left again and walk the last x kilometers. The value of x was different for different astronauts and was one of 30, 40, 50, 60, 70, 80, and 90.

All but one astronaut finished in the same location. What was the value of x for the astronaut who finished alone? What is the size of the asteroid?

(Konstantin Knop)

See The Solution Submitted by broll    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some Thoughtsre: Meaning of broll2016-04-28 09:18:19
Meaning of "walking forward upon the surface of a sphereDan Rosen2016-04-28 04:39:05
re: A possible solution (2)broll2016-04-21 21:56:20
A possible solution (2)armando2016-04-21 13:56:04
re: an possible solutionbroll2016-04-20 09:55:30
an possible solutionarmando2016-04-20 09:06:01
re: questionbroll2016-04-19 23:50:38
QuestionquestionCharlie2016-04-19 22:46:24
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