AMC10 2027 - Self-practice Set 5 Question 4

Question 4

Mr.Brown drives for a positive integer number of hours at an average 55 km/h. His odometer changes from $\overline{abc}$ to $\overline{cba}$, where $a\ge1$ and $a+b+c\le7$. Find $a^2+b^2+c^2$.

$26$
$27$
$36$
$37$
$41$