Which is nearer to Luzern- Mt.Titlis or Pilatus

Hi, Back with a a few more questions:

1.We would be in Luzern on 27 th aug and half day on 28th as we would be proceeding to Interlaken late that evening.I want to see Mt. Titlis and Pilatus.Which is nearer so we could do that on the second day since we have only half day.The longer trip can be done on first day.

2.I have 2 days in interlaken.One day we would do jungfrau and spend time in grindelwald on the way back.any suggestions for 2nd day there?

3.We have 1 and 1/2 days in Montreux.I have half a day planned for lausanne and chillon castle.Any suggestions for second day: cheese choclate factories or vevey-lavaux?

Once again want to mention how much I have begun to appriciate this forum and thank you for such a commendable job!

If you are in Luzern, going to Pilatus and Mt Titlis are very easy.
I have the train schedule of Pilatus during my last year visit, please find attached.
From Luzern to Engelberg you can go by train, every hour and it takes only less than an hour.
If you start early in the morning, let say 07.00 from Luzern, I am sure you will be able to go back in Luzern at 13.00 o'clock.

In Interlaken you can go to Harder Kulm, cost CHF 25 for the Train v.v.. You can take a bush walk if you like it.
Or, boat trip over the lakes.

You can explore the Pilatus through this link http://www.pilatus.ch/en/
Mt Titlis http://www.titlis.ch/en/titlis/titlis_info/getting_here/ride_upt_to_mt_titlis

Thank you so much.:-)So, Titlis on the first day and pilatus the 2nd.