Given :
Time they traveled in a day , [tex]t=5\dfrac{1}{2}=\dfrac{11}{2}\ hours[/tex] .
Average speed , [tex]s=1\dfrac{3}{4}=\dfrac{7}{4}\ mph[/tex] .
To Find :
How far did they hike altogether in 4 days .
Solution :
We know , distance covered is given by :
[tex]d=s\times t \\\\d=\dfrac{7}{4} \times \dfrac{11}{2}\ miles\\\\d=\dfrac{77}{8}\ miles[/tex]
So , distance covered in 4 days is :
[tex]D=\dfrac{77}{8}\times 4\ miles\\\\D=38.5\ miles[/tex]
Therefore , distance they hike in 4 days is 38.5 miles .
Hence , this is the required solution .