What is the average speed of a train on the stretch between two stations, if it traveled the first half of the distance between stations at an average speed of 50 km / h, and the second at an average speed of 70 km / h?
To find the value of the average speed of the specified train on the stretch, it is necessary to use the formula: Vav = S / (tн + tк) = S / (S / 2Vн + S / 2Vк) = 1 / (1 / 2Vн + 1 / 2Vк).
Variables: Vн – initial speed of the specified train (Vн = 50 km / h); Vк – final speed (Vк = 70 km / h).
Calculation: Vav = 1 / (1 / 2Vn + 1 / 2Vk) = 1 / (1 / (2 * 50) + 1 / (2 * 70)) = 58.3 (3) m / s.
Answer: The average speed of the specified train on the stretch was 58.3 (3) m / s.
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