The diagram below represents a road network connecting five towns, namely Meereen, Lannisport, Winterfell, Oldtown, and Gulltown. The maximum speed limits along any stretch of road are as shown in the diagram. The straight road that connects Meereen to Gulltown passes through Oldtown. Another straight road, running west to east, connecting Meereen to Winterfell, passes through Lannisport. Further, two straight roads, one from Lannisport to Oldtown and another from Winterfell to Gulltown, are perpendicular to the road joining Meereen to Winterfell, and run from south to north. [Diagram: a right triangle with Meereen (west), Lannisport and Winterfell (east) along the base; Gulltown due north of Winterfell; Oldtown on the hypotenuse Meereen-Gulltown, due north of Lannisport. Speed limits: Meereen-Lannisport 120 km/hr, Lannisport-Winterfell 120 km/hr, Meereen-Oldtown 100 km/hr, Oldtown-Gulltown 25 km/hr, Lannisport-Oldtown 20 km/hr, Winterfell-Gulltown 120 km/hr.] [Figure: see page 13 of source PDF] Consider a car always travelling at the maximum permissible speed, and always taking the shortest route. It takes 1 hour to reach Oldtown from Meereen, 2 hours to reach Gulltown from Oldtown, and 45 minutes to reach Winterfell from Gulltown. (For this problem, always consider the shortest route in terms of distance.)