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I would say no more than 35 mins from Ealing to Golf and I'm slow - and did have to stop and walk back at one point as I nearly ended up on the A40...(you can see it on the track)
https://www.strava.com/activities/219427443 (this route is slightly short as I forgot to turn on the garmin.)But yeh as DC says, you could either get the paddington line, or overground it to the bush ride to white city and take your bike on the central to ealing.
..or get a lift :-)
So I finally looked up where the golf is and I am getting a bit nervous about how far a ride it is to do fixed (my knees are not what they used to be!) both ways...
I'm guesstimating
1 hour : Hyde Park - Ealing
45 min : Ealing - Golf
Does that sound about right?