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Answer :
Write and solve an equation of ratios:
229.2 miles 38.2 hrs
------------------ = ---------------
405.8 miles x
Perform cross-multiplication: 229.2x = (38.2)(405.8)
x = 67.6 hours (answer)
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Rewritten by : Barada
[tex] \bf \begin{array}{ccll}
miles&hours\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
229.2&38.2\\
405.8&h
\end{array}\implies \cfrac{229.2}{405.8}=\cfrac{38.2}{h}\implies h=\cfrac{405.8\cdot 38.2}{229.2} [/tex]