Hi Hemanshu -
<<"If may I ask how much time it will take from Weggis > Rigi >
Vitznau, say if I stay one hour at the top strolling around and going
and coming back through fastest route so that I can plan the day
accordingly and decide on timings and if I have more time then I can
have a nice lunch in Vitznau or around Rigi if there are any options
(any suggestions here?). You have been really helpful, thank you again!">>
You certainly may ask. ;-)
The answer will depend on what time you get to Weggis. You can choose your timing.
Assume that you catch the 0912 boat from Luzern, arriving at Weggis at 0953:
www.lakelucerne.ch/fil eadmin/lakelucerne/con tent/Dokumente_Downloa ds_PDF/01_Fahrplan-Preise/01_Fahrplan/Sai sonaler_Fahrplan/2018/ 2018_Fahrplan_Fruehlin g.pdf
Allow 20 minutes to walk up to the Talstation. That is conservative. Then, you will have to wait until 1040 to catch the next LSB.
There is no shuttle bus from Schiffstation to LSB Talstation. You may find bus KB #9 if you work the schedule. It is a schoolbus ( KinderBus) which you might or might not be allowed to ride, but its hours don't match, it runs on weekdays only, and it takes as long as a walk, because it makes so many stops.
(There is one LSB at 1010 up from the Talstation. If you are in good condition and want to run uphill , you might make the 1010. However, you'd better be at the exit from the boat well before it docks, get off fast, and study the maps carefully so tha you make no false turns.)
Assume that you get the 1040 to Rigi-Kaltbad, arriving 1050 at the Bergstation ( Mountain station, top station). The walk to the train station to catch teh cograil train coming up from Vitznau will take more than 5 minutes and less than 10. Assume 10. The next hourly train up is at 1135 arriving at Rigi Kulm at 1147. You have a 35 minute wait. Probably not enough for a meal.
(If you were able to run uphill and get the 1010 LSB, then you would catch a train at Rigi-Kaltbad 1 hour earlier thus getting the 1035 up to Kulm, and get up to the Kulm at the same time as the easy route via Vitznau, which I explain further later in this post.)
You miss the 1035 train no matter what if you take the 1040 LSB . The only way to get the 1035 train at R-KB up to the Kulm is to catch the 1010 LSB up from Weggis. Very hard to do.
So, if you go by Weggis, from the time you leave the Schiffstation, until you get to Rigi Kulm is 1 hour and 54 minutes (0953->1147) , with long gaps in the connections.
Trains down to Vitznau depart Rigi Kulm at the exact hour - 1000, 1100, 1200, etc and yake 40 minutes. To catch the boat to Flüelen at 1610 the last train possible is at 1500.
The better way -
My experience has been that the route up from Vitznau is simpler, faster unless you are an athlete, and has fewer connection gaps.
If you ride the same 0912 boat from Luzern to Vitznau at 1009, you can catch a train up to Rigi Kulm at 1015 and be at Rigi Kulm at 1047. One hour earlier than the route up from Weggis. Note the well-timed connection.
It is easier to put together a reasonable set of connections up top, because you can walk as well as ride to Rigi-Kaltbad to take the LSB down to Weggis.
I highly recommend that you go up from Vitznau. The trip is set up in the schedules to work smoothly that way. Fewer connections, and well-timed.
PS- There many places to eat on the Rigi. You might eat at the restaurant at Rigi Kulm, or at a few different places at Rigi Kaltbad, for example. There are a bunch of nice places in Weggis. Nothing at the Talsation. One week after you will be there, I'll be staying for a night at the hotel Central am Se, and will be deciding which restaurant to try. You can eat at Vitznau.
The best restaurant on the Rigi is at Rigi-Kaltbad. It is the Hotel Bergsonne.
At that link, click on "Aktuell"
When you are there, it is possible but not probable that they might be open for lunch. The chef - Dorly Camps - is famous. Her husband, Herr Willy Camps, maintains a sumptuous wine cellar. The food is "Slow Food." Exquisite, but you would plan on 2 1/2 hours for a full meal...or more.
I stay there every time that I am able to. With luck, I might stay there on May 26th, arriving late in the day, although plans are not yet certain. That is a Saturday.
I have attached a stitched together panorama showing the relationship between Weggis, the Talstation, Rigi Kaltbad and the Hotel Bergsonne. Note the distance between the lake and the Talstation. Also, some nice pictures from the Bergsonne with unusual cloud patterns and sunstrikes. And, one from below the clouds of the Lake, from Weggis Talstation, I think.