CAT 2023 Slot 1 QA · Question 8

Brishti went on an 8-hour trip in a car. Before the trip, the car had travelled a total of $x\mathrm{km}$ till then, where $x$ is a whole number and is palindromic, i.e., $x$ remains unchanged when its digits are reversed. At the end of the trip, the car had travelled a total of $26862\mathrm{km}$ till then, this number again being palindromic. If Brishti never drove at more than $110\mathrm{km}/\mathrm{h}$, then the greatest possible average speed at which she drove during the trip, in $\mathrm{km}/\mathrm{h}$, was