The correct answer to this open question is the following.
Although there are no options attached we can say the following.
The two problems faced by Romans, that were solved by the construction of roads were the following.
First, they solved the problem of transportation. Due to the fact that the Roman Empire was so large, Romans had to transport goods and people across the empire. They needed good roads for wagons, animals, and people.
The other aspect was "control." Roman Emperors wanted to make a statement of their power and control over their vast territories. Roads were a clear message that the Roman Emperor and his army could reach any faraway land. That is why Roman roads were so good and. They had to serve to the transportation of troops, animals. and weapons.