D 18 1/2
1) Since 3 7/10 miles is a mixed number let's turn it into an improper fraction, to make our calculations easier:
[tex]3\frac{7}{10}=\frac{10\times3+7}{10}=\frac{37}{10}[/tex]2) So, setting a proportion:
37/10 ---------------------1 day
x ----------------------5 days
Cross multiplying:
[tex]\begin{gathered} x=5\cdot\frac{37}{10} \\ x=\frac{37}{2} \end{gathered}[/tex]So the improper fraction is 37/10 in 5 days. As the question requests in Mixed Number, then
37 /2 =18.5
18.5 = 18 + 0.5 Rewriting 0.5 into fractions 1/2
18.5 = 18 1/2
3) Hence, the answer is 18 1/2