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MathNet 2019-part-07 — 184 problems (EN–VI) Question 132

Math Olympiad Vault · MathNet 2019-part-07 — 184 problems (EN–VI)

Question 132

Two cyclists left towns $A$ and $B$ and rode towards one another with speeds $v_1$ and $v_2$, where $v_1 \ge v_2$, and met for the first time after 1 hour. After meeting, they both continued their journeys without stopping until their destination towns. When one of them reached his/her final point, he/she turned around and rode in the opposite direction.
How much time after their first meeting did their second meeting take place?

Question illustration
Fig. 22