About 1 hour
The London Eurostar terminal is at St Pancras International station which is adjacent to Kings Cross station, so whatever it takes to cross the road and buy your ticket.
About 45 minutes.
Let's see... I haven't looked at my British version for a long time. Okay, I am going to list the properties by color. I'll also list the utilities and railroads under that. Mayfair Park Lane Bond Street Oxford Street Regent Street Piccadilly Coventry Street Leicester Square Trafalgar Square Fleet Street Strand Vine Street Marlborough Street Bow Street Northhumberland Avenue Whitehall Pall Mall Pentonville Road Euston Road The Angel, Islington Whitechapel Road Old Kent Road Utilities: Electric Company Water Works Railroads: Marylebone Station Kings Cross Station Liverpool Street Station Fenchurch Street Station Another difference... the space called "Luxury Tax" on American boards is called "Super Tax" on British Boards.
The train from London to Edinburgh takes about 4 hours 30 minutes and the castle is a 20 minute walk from Waverly Station
With no changes, from about two hours 40 minutes to three hours 20 minutes, depending on the specific train. (You will arrive at Kings Cross station in London.)
From platform to platform about fifteen minutes on the circle (yellow) or hammersmith and city (pink) lines, which run along the same tracks - i.e. when you're on the platform you can get on the first train and it doesn't matter whether it's a circle or hammersmith and city train. I would suggest allowing an extra ten minutes to find your way to the right platform at kings cross, and to get your bearings at Liverpool St station.
Trains don't go from Kings Cross to Manchester. They leave from London Euston which is a 10 minute walk from Kings Cross. The journey from London Euston to Manchester Piccadilly takes around 2 hours 10 minutes.
2 hours
Oxford St is 0.75 Miles
Take the Downtown A-C-E (the blue line) from 34th Street-Penn Station to West 4th Street (doesn't matter which you take, the A, C or E, since all three stop at West 4th). Transfer at West 4th Street to the Uptown F train (of the B-D-F-M, the orange line) to 21st Street-Queensbridge in Queens (Long Island City is in Queens). This is the first stop the F train makes in Queens. It's the next stop after Roosevelt Island.The 21st Street-Queensbridge Station is at or near the corner of 41st Avenue and 21st Street. Walk one block north on 21st Street to 40th Avenue. Cross 40th Avenue, and continue up 21st Street about half a block to the Best Western at 39-34 21st Street between 40th and 39th Avenues.
It's an 8 to 10-minute ride on the Uptown C local train, not counting the time it takes to wait for the train to come. It's only 4 stops: 34th Street-Penn Station, 42nd Street-Port Authority, 50th Street, 59th Street-Columbus Circle, 72nd Street.
It's about a 15 to 20-minute ride on the Downtown 1 train.