By shinkansen the average fares are as follows: To/from Tokyo JPY10,580 (Journey time 2 hours). To/from Osaka JPY6180 (Journey time 1 hour).
To/from Takayama Limited express train on the Takayama Honsen line (Journey time 2 1/2 hours)
It is also possible (and cheaper!) to reach Nagoya by bus. Frequent buses run from Tokyo Station, taking approx. 6 hours at the cost of JPY5,100 one way). Buses also run from Kyoto and Osaka.
You'll find Nagoya easy to navigate. The streets form a grid pattern, and the subway is fast and efficient. In addition to JR, the extensive Meitetsu train and bus system also serve the greater Nagoya area.

