The price varies depending on how many zones you intend to travel, if you will pay cash, or use Oyster card Travelcard or Pay-As-You-Go.

However, a Zone 1 only, adult, trip will cost:

£4.50 cash

£2.10 Pay-As-You-Go

£8.80 Day Anytime Travelcard, and

£7.00 Day Off-peak Travelcard.

Beyond this, you can buy Travelcard for a week, a month, a year, there is a limit to how much your Pay-As-You-Go cost will be if you travel a lot over the course of a day, and these prices will most likely change in the near future, making this a very fuzzy list.

They are, however, correct as of December, 2013.

You can get an oyster card which you can use on all forms of transport in the capital or a daily travelcard. But you can't use a ticket you buy at a bus stop on a tube as well.

Raynes Park railway station is located in the London Borough or Merton in South London. This particular station is in Travelcard Zone 4 and served by South West Trains.

I assume you mean the London Transport 'Travel Card' and for that you do not have to be a resident of London to purchase a travelcard. The travelcard is good for busses and the London Underground and can be purchased for zone 1 and 2 or all zones. It can be purchased through AAA Auto Club in the US, through the London Transport and from select stops in the London Undeground system. You will need a photo ID and that can be done at no additional charge at selected stations like Oxford Circus tube station etc and they can be purchased for as short amount of time as a week or up to a year I believe. If you use a tourist type travelcard, you are restricted from using the tube during morning rush hour on the card which ends at 9:30 am so the first trip to get your photo will cost you like $1.80 for the ride and if you want to leave before 9:30 am on a tourist rate travelcard then you need to buy a proper ticket for that particular use. Make sure not to go beyond your zone on other than all zones travelcards as you will be charged a 10 pound ($16) on the spot fine. I am not a travel agent and I live in the US so that is as close as I can remember from when I used the system. The travelcard can be used on busses and the tube and is unlimited excluding the restrictions i listed above, good luck, enjoy the bus trips.

Provided you have enough pay as you go and/or a valid Travelcard for the zones you can go anywhere you want in zones 1 - 9. It is also valid in all zones on the buses, DLR, Tramlink and London Overground, and on some National Rail routes.

http://www.oystercard.bravehost.com/