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There is a public bus every 30 min to 1 hour from Chiang Mai (in northern Thailand) to Chiang Dao. (74 km, about 1.5 to 2 hours bus ride). Take a songthaew (a small motor vehicle) from the Chiang Dao bus stop (about 10 minutes ride). You can also rent a car or bike in Chiang Mai and drive there.
BY PUBLIC TRANSPORTATION:
FROM CHIANG MAI
Take a public bus to Chiang Dao/Tha Tong/Fang from Chiang Mai Bus Terminal 1 (a.k.a. Chang Phuak Bus Station). [Map]
See the timetable above. The time on the left-hand side is the departure time in Chiang Mai, northbound. The time on the right-hand side is the departure in Fang, southbound. (The time in red indicates the departure in Fang and Tha Tong.)
The bus runs every 30 min to 1 hour between 6:00 am and 17:30 (northbound) and it costs 90 THB.
(74km, It takes about 1.5-2 hours. Each bus carries 66 passengers.)