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

https://damienyrfp244.iamarrows.com/taxi-to-heathrow-airport-costs-travel-times-and-when-it-makes-sense

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.