Problem 6 · 2017 Math Kangaroo
Medium
Spatial & Visual Reasoning
transformationsspatial-reasoning
Jim and Ben are sitting in a ferris wheel (see picture on the right). The ferris wheel is turning. Now Ben is in the position where Jim was beforehand. Where is Jim now? (The five positions are shown as choices A, B, C, D, E.)
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Answer: C
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Hint 1 of 2
The whole wheel turns together, so every seat slides the same number of spots around.
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Hint 2 of 2
See how far Ben moved to reach Jim's old seat, then slide Jim that same amount in that same direction.
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Approach: rotate every seat by the same step
- Ben moved into the seat Jim used to occupy, so the wheel rotated by exactly one seat-gap.
- Jim's seat rotates by that same gap in the same direction.
- Apply that one-step turn to Jim's old position.
- Jim ends up where option C shows.
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