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2023 Math Kangaroo

Problem 2

Problem 2 · 2023 Math Kangaroo Medium
Logic & Word Problems spatial-reasoning
Figure for Math Kangaroo 2023 Problem 2
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Answer: D
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Hint 1 of 2
Match each phase of the trip to a speed: running is fast, the train is faster still, walking is slow.
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Hint 2 of 2
The underground ride has two stops, so its speed graph dips to zero twice in the middle.
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Approach: match the story phases to the speed-time graph
  1. First she runs: a moderate speed bump at the start.
  2. Then the train: a high, flat speed that drops to zero twice (two stops) before reaching her stop.
  3. Finally she walks: a low, flat speed to the end.
  4. Only graph D shows run, then a fast train with two zero-speed stops, then a slow walk.
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