Answer:
[tex]31\frac{1}{5}\ miles[/tex]
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
so
The distance is equal to multiply the speed by the time
we have
[tex]speed=9\frac{3}{5}\ \frac{miles}{hour}[/tex]
[tex]time=3\frac{1}{4}\ hours[/tex]
[tex]distance=(9\frac{3}{5})(3\frac{1}{4})[/tex]
Convert mixed number to an improper fraction
[tex]9\frac{3}{5}=9+\frac{3}{5}=\frac{9*5+3}{5}=\frac{48}{5}[/tex]
[tex]3\frac{1}{4}=3+\frac{1}{4}=\frac{3*4+1}{4}=\frac{13}{4}[/tex]
substitute
[tex]distance=(\frac{48}{5})(\frac{13}{4})=\frac{624}{20}=31,2\ miles[/tex]
Convert to mixed number
[tex]31.2\ mi=31+0.2=31+\frac{1}{5}=31\frac{1}{5}\ miles[/tex]
