VTMO 2026 - Grade 9 - Semifinal - SET 04 - Self-study Question 16

An drives at an average speed of 55 km/h for an integer number of hours. The odometer initially reads $\overline{abc}$, with $a\ge1$ and $a+b+c\le7$, and finally reads $\overline{cba}$. Find $a^2+b^2+c^2$.