Five places
Start at station S and reach harbor H. The other places are garden G, bridge B, and clock tower C. Every path works in both directions with the same travel time. Revisiting a path still takes time.
The path times
The paths take: S–G 4 minutes, S–B 2, B–G 1, G–H 3, B–C 3, and C–H 4. No other direct paths exist. What is the shortest time to reach H?
Write complete routes
Write complete routes through the garden and through the clock tower. Begin each at S, end at H, and add every segment. Comparing only one segment—or inventing an unlisted shortcut—will not give the right result.