What the road is like
Part of the route runs on the motorway towards Zenica, and the rest on main roads across hilly ground. The main-road sections have plenty of bends, climbs and lorry traffic, so the average speed is lower than the map implies.
Allow closer to two and a half hours than two, particularly on a weekday when freight traffic is heavier.
Tolls and fuel
Tolls apply only on the motorway sections, and the amounts are small. The rest of the route is untolled main road.
There are enough filling stations the whole way, so fuel is not something you have to plan around as on some mountain routes.
Why people drive this route
This is less a tourist route and more a business and family one. Tuzla has its own airport with low-cost flights, so it happens that someone lands in Tuzla and needs a car for Sarajevo, or the other way round.
If you need that kind of one-way arrangement, ask in advance so we can see what is workable — it is not a standard service.