From the West End, take the Piccadilly line; estimate around 50 minutes to Terminal 5

https://www.scribd.com/document/1074894734/Heathrow-Drop-Off-Charges-and-Pick-Up-Locations-Avoid-Fines-and-Hassles-212266

From the West End, take the Piccadilly line; estimate around 50 minutes to Terminal 5, and consider traveling off-peak for a more comfortable journey.