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MathNet 2025-part-01 — 187 problems (EN–VI) Question 107

Math Olympiad Vault · MathNet 2025-part-01 — 187 problems (EN–VI)

Question 107

Two cars start simultaneously toward each other, one from city $A$ and the other from city $B$. Each time they reach the other city, they immediately return. The first car is $1.25$ times faster than the second. If the distance between their $2$nd and $3$rd meeting points is $56$ km, find the distance between cities $A$ and $B$.