Question 1202815
One time around the track circumference of  {{{2t*pi}}}{{{miles}}}.


n times around the track,  {{{2tn*pi}}} miles.


He consumes s quarts of drink for each 1 mile of travel.


He must travel just 1 mile!
{{{s=1}}}


{{{2tn*pi=1}}}-----------Two variables so there are some choices here.
Do you expect only whole numbers for n?
"Yes";


Then there you go.  n=1, and solve for t.
n=2, and solve for t.
n=3, and solve for t.  
.
.
Also think what is practical for values of t.  Does each "circular" track circumference make sense?