So know your round, refrain from cleaning exposed properties that you know damn well will look like crap after a day and do the ones that are more sheltered.
We must have very different businesses/rounds.
My work is split into days/runs. I don't go into the same area twice in my working month.
If I did then It would be less efficient and earnings/time keeping would suffer.
I couldn't imaging driving all over the place for less exposed houses when it's poor weather, and visiting the same area multiple times during the month. If i had to do that I probably would just give up and sit at home watching Jeremy Kyle like the rest of you.

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Everybody probably has a different business / round.
You put forward a question to a scenario, I just answered from my working perspective.
e.g
Monday fine and sunny - seafront properties due, but Tuesday gale force winds and a high tide.
So I swap Wednesdays or Thursdays work to Monday because its 5 miles inland and do the seafront jobs later in the week when the storm has passed. Can't see how an adaptable approach such as that is going to effect my efficiency or earnings.