tetebouie tetebouie
  • 17-07-2018
  • Mathematics
contestada

a boat travels 229.2 miles in 38.2 hours. How much time will it take traveling 405.8 miles

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jdoe0001 jdoe0001
  • 17-07-2018

[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]

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altavistard
altavistard altavistard
  • 17-07-2018

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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