The cyclist covered the first half of the journey at a speed of 12 km / h. At what speed did he drive the second
| August 3, 2021 | education
The cyclist covered the first half of the journey at a speed of 12 km / h. At what speed did he drive the second half of the journey, if his average speed along the entire journey was 8 km / h?
The average speed of a cyclist can be calculated using the formula:
Vav. = 2V1 * V2 / (V1 + V2), where Vav. Is the average speed of the cyclist (Vav = 8 km / h), V1 is the speed of the cyclist on the first section of the path (V1 = 12 km / h), V2 is the speed of the cyclist on the second section of the path.
Let’s calculate the speed of the cyclist on the second section of the path:
8 = 2 * 12 * V2 / (12 + V2).
96 + 8V2 = 24V2.
96 = 16V2.
V2 = 96/16 = 6 km / h.
Answer: The bike traveled the second half of the way at a speed of 6 km / h.
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