Respuesta :

leilaallison1104
19 1/2 miles. Because you take 6 1/2 and divide that in half which is 3 1/4, so that is 1/3 of an hour. 3 1/4 times 3 is 9 3/4. Since that is only 1 hour you double that, which is 19 1/2.
calculista

Answer:

[tex]19.5\ miles[/tex] or [tex]19\frac{1}{2}\ miles[/tex]

Step-by-step explanation:

we know that

Alphonse runs [tex]6\frac{1}{2}[/tex] miles every [tex]\frac{2}{3}[/tex] hour

so

by proportion

Find how far does he run in [tex]2[/tex] hours

Convert to an improper fraction first

[tex]6\frac{1}{2}=(6*2+1)/2=13/2[/tex]

[tex]\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[/tex]

Convert to mixed number

[tex]19.5\ miles=19+0.5=19+\frac{1}{2}=19\frac{1}{2}\ miles[/tex]

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