Problem 7 · 2023 Math Kangaroo
Easy
Spatial & Visual Reasoning
path-tracingspatial-reasoning
The diagram shows the starting position, the direction and the distance covered within 5 seconds by four bumper cars. Which two cars will first crash into each other?
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Answer: B — A and C
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Hint 1 of 2
Mark where each car ends up after its arrow's full length.
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Hint 2 of 2
The first crash is between the two cars whose paths meet soonest, not just whose endpoints are near.
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Approach: track each car's motion on the grid and find the earliest collision
- Each arrow gives a car's direction and the distance it covers in the 5 seconds.
- Following the paths, cars A and C are heading onto the same point first.
- Their tracks intersect before any other pair's, so the first crash is A and C (B).
Mark:
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