[tex] \bf \begin{array}{ccll}
miles&minutes\\
\cline{1-2}
6&30\\
24&x
\end{array}\implies \cfrac{6}{24}=\cfrac{30}{x}\implies x=\cfrac{24\cdot 30}{6}\implies \stackrel{\textit{2 hours}}{x=120} [/tex]
Find the time needed to ski a distance of 24 miles
It will take 120 minutes to ski a distance of 24 miles
Solve the question using ratio
Ratio of distance to ratio of time = 6 miles to 30 minutes
time needed to ski a distance of 24 miles
let
t = time needed
Ratio of distance to ratio of time = 24 miles to t minutes
equate both ratio
6 : 30 = 24 : t
6/30 = 24/t
cross product
6 × t = 30 × 24
6t = 720
t = 720/6
t = 120 minutes
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