Problem 11 · 2013 Math Kangaroo
Medium
Spatial & Visual Reasoning
proportion
Patricia drives one afternoon at a steady speed to her friend. She looks at her watch when she leaves and again when she arrives (both clocks are shown). Where will the minute hand be when she has completed one third of her journey?
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Answer: D
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Hint 1 of 3
The two clocks show the start time and the finish time of the whole drive.
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Hint 2 of 3
Find how far the minute hand swings between those two clocks, then take one third of that swing.
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Hint 3 of 3
Mark the one-third point and match it to the pictured clock faces.
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Approach: take one‑third of the way between start and finish
- From the leaving clock to the arriving clock, the minute hand sweeps through a fixed amount.
- Since the speed is constant, one third of the journey means the hand has swept one third of that amount.
- Marking the one-third point of the swing matches the clock in choice D.
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