Question 1115666
n, time for Nathan alone.


To start, the description forms this equation:   {{{1/(n+1&3/4)+1/n=1/3}}}


{{{1/(n+7/4)+1/n=1/3}}}


{{{(4/4)(1/(n+7/4))+1/n=1/3}}}


{{{4/(4n+7)+1/n=1/3}}}

{{{3*4*n+3(4n+7)=n(4n+7)}}}

{{{12n+12n+21=4n^2+7n}}}

{{{7n+21=4n^2}}}

{{{4n^2-7n-21=0}}}-----work with this and pick the right value for n.

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n,  about 3.328 days
(not yet checked to be sure)