Question

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

Answer 1

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)

Answer 2

$\bf \begin{array}{ccll} miles&hours\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 229.2&38.2\\ 405.8&h \end{array}\implies \cfrac{229.2}{405.8}=\cfrac{38.2}{h}\implies h=\cfrac{405.8\cdot 38.2}{229.2}$