Get a Zone 2 Travelcard rather than Zone 1. Then go to Westminster Pier and take a boat to Greenwich (£6.80 single). There is a very informed commentary on all the sites you pass. When you get to Greenwich you can visit the Cutty Sark, market and Maritime museum, then use the Docklands Railway to get back and see all the modern sights of the East End.

www.citycruises.com

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