Rushmore Hotel is located in London near: By underground: The nearest station is 0.1 miles away - an easy walk. BY AIR: London Gatwick is 25 miles away - taxi fare approx GBP 35.00 London Heathrow is 15 miles away - taxi fare approx GBP 25.00 From London Heathrow by road: Take the M4 Eastbound towards central London. Continue onto the A4, then to the A3220 at Earl's Court. Turn right into Earl's Court Road, then take the 4th right. The hotel is situated on the right.