This is probably embarrassingly basic, but I have spent quite a few hours in 
Google and RSeek without getting a clue - probably I'm asking the wrong 
questions...

There is this guy who has decided to walk through Australia, a total distance 
of 4000 km. His daily portion (mean) is 40km with an sd of 10 km. I want to 
calculate the number of days it takes to arrive with 80, 90, 95, 99% 
probability.
I know how to do this manually, eg. for 95%
$\Phi \left( \frac{4000-40n}{10 \sqrt{n}}  \right) \leq 0.05$
find the z score...

but how would I do this in R? Not qnorm(), but what is it?

Thanks in advance,
and apologies for the level of question...
Rainer

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