From Taoyuan Airport to Green World Hotel by Airport MRT

Take the Airport MRT (stop at both airport terminals), to go to Taipei Main station (of Airport MRT), it took 40 - 50 min from airport terminals to Taipei Main station. At airport, follow the "Taoyuan Airport MRT" sign:

Airport MRT (Taoyuan MRT) map  Another Airport MRT map  (A12 (terminal 1) or A13 (terminal 12) to A1 (Taipei Main station))

At "Taipei Main station" of Airport MRT, switch to "Taipei Main station" of Taipei MRT (12 -15 min walking distance). 

Then, take Taipei MRT Bannan (Blue) line from Taipei Main station to Houshanpi MRT station. It took 15 min from Taipei Main station to Houshanpi station. GreenWorld hotel is 40 meter from exit 3 at Houshanpi station (Refer the figure). 

Info on Taipei MRT  (Take BL12 (Taipei Main Station) to BL20 (Houshanpi))