9.2. Toshа travels from point A to point B via point C. From A to C, Toshа travels at an average speed of 75 km/h, and from C to B, Toshа travels at an average speed of 145 km/h. The entire journey from A to B took Toshа 4 hours and 48 minutes. The next day, Toshа travels back at an average speed of 100 km/h. The journey from B to C took Toshа 2 hours, and the journey from C to A was completed at an average speed of 70 km/h. Find the distance between B and C.
Answer: 290 km.

Solution. Let $\mathrm{X}$ km be the distance between B and C, and $y$ km be the distance between A and C. From the system of equations $x / 145 + y / 75 = 24 / 5$ and $(x + y) / 100 = 2 + y / 70$, we find: $x = 290$ and $y = 210$.

![](https://cdn.mathpix.com/cropped/2024_05_06_305ee055be4876dfd903g-1.jpg?height=51&width=1800&top_left_y=1704&top_left_x=152)
Computational error - 5 points.