Just keep running, You need a Lot of stamina, You lose stamina everytime You run but Your max stamina gets bigger.
You need around 25 turns (running, not counting fights) from Town to beach.
30 turns from beach to mountain.
35 turns from mountain to lab (lab not available at the moment)
You'll be able to use the bus ticket at the beggining of the running after You reach for the first time the beach, buss ticket to the mountain after You reach the mountain for the first time.