NSW Y8 Maths Rates and Ratios Rate Problems

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Rate Problems Theory

\begin{multicols}{2}  \textbf{Example 1}\\ An aircraft travelled at \(800 \text{~km} / \text{h}\). How far did it travel in 6 minutes?\\  \textbf{Example 1 solution}\\ In 1 hour \(=800 \text{~km}\)\\ \(\begin{aligned} 60 \text { minutes } & =800 \text{~km} \\ 1 \text { minute } & =\frac{800}{60} \\ 6 \text { minutes } & =\frac{6 \times 800}{60} \\ & =80 \text{~km}. \end{aligned}\)  \columnbreak \textbf{Example 2}\\ Smokers lose approximately \(2 \%\) of their lung capacity per year. If Helen with \(100 \%\) lung capacity started smoking at 21 years of age, at what age will she have \(50 \%\) lung capacity left?\\  \textbf{Example 2 solution}\\ Loss of lung capacity per year \(=2 \%\)\\ \(\begin{aligned} \therefore 50 \% \text { loss } & =\frac{50}{2} \\ & =25 \text { years. } \end{aligned}\)\\ \(\therefore\) After 25 years, \(50 \%\) loss.\\ \(\begin{aligned} \text { Helen's age } & =21+25 \\ & =46 \text { years. } \end{aligned}\) \end{multicols}

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  • Rate Problems - Video - Rate Problems 1

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