It sounds like you received a notice of intended prosecution for exceeding the speed limit on the A40 Westway in West London. The notice indicates that your average recorded speed was 35.3mph, which is just above the threshold for enforcement.
If you believe that you were driving within the speed limit and that the notice is incorrect, you may be able to challenge it in court. However, if you were driving over the speed limit, it's unlikely that you'll be successful in challenging the notice.
Assuming that you were driving over the speed limit, you have a few options.
You can choose to pay the fine and take the speed awareness course if it's offered.
The speed awareness course is a way for drivers to learn about the dangers of speeding and how to avoid it in the future, rather than receiving penalty points on their license.
Alternatively, you can choose to contest the notice in court.
However, this can be a time-consuming and costly process, and there's no guarantee of success.
If you do choose to contest the notice, it's important to seek legal advice and to have a strong case with evidence to support your defence.
In any case, it's important to take responsibility for your actions and to consider the potential consequences of speeding, including the risk of accidents and the impact on other road users.