Neco 2017 Geography Question 36

Three cities A, B and C are located in a region. The population of city A is \(1.5\) times that of city B. City C has a population that is \(20\%\) less than that of city A. The combined population of the three cities is \(1.200\) million. The distances between the cities are: A-B = \(35\) km, A-C = \(50\) km, B-C = \(28\) km. According to the urban‑hierarchy classification, a settlement with population less than \(50\,000\) is a town, between \(50\,000\) and \(200\,000\) is a city, and above \(200\,000\) is a metropolis. Determine the classification of each city and identify which city would be selected as the regional capital if the capital must be the most populous metropolis that is at least \(30\) km away from any other metropolis.