The distance by road is 937km by road from Pune to Kota. And if you’re opting to go by cab, it will only take 19 hours approximately to reach.
Many routes by which can explore other cities while visiting Kota from Pune:
Pune > Sangamner > Dhule > Indore > Jhalawar > Kota (937km), Pune > Sangamner > Dhule > Jaora > Mandsaur > Neenuch > Kota (958km)