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AMO 2018 Secondary 1 (Grade 7) Question 24

AMO · AMO 2018 Secondary 1 (Grade 7)

Question 24

Lean cycles at constant speed from A toward B. When he has travelled $5/17$ of AB, he hears a car approaching from behind at 391 km/h. If he immediately turns back, he meets it at A; if he continues forward, it catches him at B. Find Lean’s speed in km/h. In the diagram, C is the car’s position at that instant, $CA=x$ and $AB=d$.

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