I was at Huashan mountain last fall in September and climbed to one of the peaks there, but not up to that teahouse. It took the whole day to climbed up to that peak.
As an untrained individual, I took the tram up to a station at several hundreds meters elevation above the sea.
I believed it was a good decision to take tram as I saw some youngster climbed from the base of the mountain up to that tram station looked pretty pale
From there we started to climb up hundreds of meters; the track is exactly like in the picture with first class safety protection device (for ancient people's standard)
. I'd give this condition an extra credit because it boosted my adrenalin.
The track is not merely upwards, many tracks also downwards before going upwards. Regardless the direction, the track is very steep.
Although tiring, the mountain is worth climbing as the scenery is really amazing.
It looks scary, but once you're up there, there's no point of return. There's no chinese sedan chair service like elsewhere due to the steepness. We could only focus on how to climb and hold on the chain without falling off the hill.
Do not surprise that going down is much more difficult than climbing up, because different group of muscles work for climbing than going down. Among our group, one who wanted to boast of climbing up the peak the fastest suffered muscle cramps without taking this fact into account.
Addendum: This place is also suitable for elderly 70+; one of us was a retired chinese armyman at the age 80