The train traveled the first half of the road for 50 km / hour, and the second half of the road
| June 19, 2021 | education
The train traveled the first half of the road for 50 km / hour, and the second half of the road traveled for 100 km / hour, you need to find the average speed of the train.
Initial data: V1 (speed of a given train on the first half of the road) = 50 km / h; V2 (speed on the second half of the road) = 100 km / h.
Let us derive a formula for finding the average speed of a given train: Vav. = S / t = S / (t1 + t2) = S / (S1 / V1 + S2 / V2) = S / (S / 2V1 + S / 2V2) = 1 / (1 / 2V1 + 1 / 2V2).
Calculation: Vav. = 1 / (1 / (2 * 50) + 1 / (2 * 100)) = 66.67 km / h.
Answer: The given train was moving along the road at an average speed of 66.67 km / h.
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