Susan (circle), Ahmad (triangle), and Sam (star) are each walking in an octagonal park on a Sunday morning. At 10:00, the following figure depicts their positions. Susan moves 3 vertices clockwise in each hour, Ahmad moves 1 vertex clockwise each hour, while Sam moves 2 vertices anticlockwise each hour. Will all three ever meet on a vertex at the same instant?

Correct answer: D. Yes, they meet at 15:00

  • A. Yes, they meet at 12:00
  • B. No, they never meet
  • C. Yes, they meet at 17:00
  • D. Yes, they meet at 15:00

Explanation

Given the movements in the question, following is the state after 5 hours (15:00)

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Scientific reasoning evaluates hypotheses through observations, variables, controls, measurements and experimental results. Questions involve identifying independent and dependent variables, recognising a fair test, interpreting tables or graphs, distinguishing evidence from opinion, and deciding whether data supports, rejects or leaves a hypothesis unresolved.

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