Here are several important pieces of information that will help us answer your questions:

1) Water is necessary to remove Ru'ach Ra'ah. It is not necessary in order to clean the hands. Any material that removes filth from the hands is sufficient for that purpose (Shulchan Aruch 4:18 and MB there).

2) Water will remove Ru'ach Ra'ah even without a Kli (MB 4:7, #17).

3) Pouring water on the hands from a Kli - Netilas Yadayim - was only instituted for prayer and eating (Shulchan Aruch OC 4:23).

4) A bathroom is a place of Ru'ach Ra'ah (MB 4:18, #40)

Let's now look at each of your questions. Someone made Mei Reglayim in a bathroom and now wants to return to:

1) Learning: he should wash his hands; a Kli is not neccesary.

2) A meal: he should wash with a Kli (no Brachah, MB 4:21 #51).

3) Davening: he should wash with a Kli (no Brachah, except in the morning before Shacharis).

4) To work: he should wash his hands; a Kli is not necessary.

If this person didn't use a bathroom (e.g. he was out in a field) then (1) and (4) wouldn't even require water, only cleaning.

One more point to add: there are Poskim who hold that our bathrooms, with their modern flush toilets, are not considered bathrooms in regards to the presence of Ru'ach Ra'ah (Shu"s Eretz Tzvi, #110, 111; see Chazon Ish, OC 17:4). The reason is that the waste material is flushed away immediately after use and therefore waste material is not present in the room. Also, the toilet bowl itself is coated with an unabsorbent material and therefore remains fairly clean. The fact that most bathrooms also have sinks in them may also improve the situation (see Chazon Ish, OC 17:10, Sefer Birchos Shamayim, part 1, #62).

Of course, today with water and washing cups plentiful, the universal Minhag after using the bathroom is to wash with a Kli.

Yonason Sigler

*This reply is not intended as a Psak Halachah. The purpose here is to analyze the question and offer possible solutions.**