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allen runs 8 miles in 3 hours at a steady pace.  how long does it take him to run 3 miles



Answer :

kyla1
It takes Allen 1 1/8 hours to run 3 miles.
[tex]\begin{array}{ccc}8miles&-&3hours\\\\3miles&-&xhours\end{array}\\\\8x=3\cdot 3\\\\8x=9\ \ \ \ /:8\\\\x=\frac{9}{8}\\\\x=1\frac{1}{8}\ (h)[/tex]



[tex]v=\frac{8}{3}\ mph\\\\s=3miles\\\\t=s:v\\\\t=3:\frac{8}{3}=3\cdot\frac{3}{8}=\frac{3}{1}\cdot\frac{3}{8}=\frac{9}{8}=1\frac{1}{8}\ (h)[/tex]

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