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AMO 2018 – Secondary 3 (Grade 9) Question 25

AMO · AMO 2018 – Secondary 3 (Grade 9)

Question 25

Samuel cycles at a constant speed from $A$ towards $B$. At $6/19$ of the way from $A$ to $B$, he hears a car approaching from behind at $418$ km/h. If he immediately turns back, he meets the car at $A$; if he continues towards $B$, the car overtakes him at $B$. Find his cycling speed in km/h.

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