we know that
[tex]1[/tex] lap around the school track is [tex]5/8[/tex] mile
so
by proportion
Find how many miles corresponds to[tex]3\frac{1}{2}[/tex] laps
[tex]3\frac{1}{2}\ laps=\frac{3*2+1}{2} =\frac{7}{2}\ laps[/tex]
[tex]\frac{(5/8)}{1} \frac{miles}{lap}= \frac{x}{(7/2)} \frac{miles}{lap}\\ \\x=\frac{5}{8}*\frac{7}{2}\\ \\ x=\frac{35}{16}\ miles\\ \\x=2\frac{3}{16}\ miles[/tex]
therefore
the answer is
[tex]2\frac{3}{16}\ miles[/tex]
