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AMO · 2027 · Grades 6-7 · Self-study SET 29 Question 4

AMO

Question 4

Lean cycles at constant speed along a straight street from A to B. After starting at A, he is $\frac5{17}$ of the way to B when he hears a car approaching from behind at 391 km/h. If he immediately turns back toward A, he meets the car at A; if he continues toward B, the car overtakes him at B. How fast does Lean cycle, in km/h? Assume both speeds stay constant and turning takes no time.

**Input:** Enter the integer only, without units.