Answer:
\(19.5\ miles\) or \(19\frac{1}{2}\ miles\)
Step-by-step explanation:
we know that
Alphonse runs \(6\frac{1}{2}\) miles every \(\frac{2}{3}\) hour
so
by proportion
Find how far does he run in \(2\) hours
Convert to an improper fraction first
\(6\frac{1}{2}=(6*2+1)/2=13/2\)
\(\frac{(13/2)}{(2/3)}\frac{miles}{hours} =\frac{x}{2}\frac{miles}{hours} \\ \\x=(13/2)*2/(2/3)\\ \\x=39/2\\ \\x=19.5\ miles\)
Convert to mixed number
\(19.5\ miles=19+0.5=19+\frac{1}{2}=19\frac{1}{2}\ miles\)
