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43 votes
43 votes
Ori can run 5miles in 45 minutes. How many meters can he run per hour?

User Krjw
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1 Answer

18 votes
18 votes

Start by passing the miles into kilometers, taking into account that 1 mile is approximately 1.6km


5mi\cdot\frac{1.6\operatorname{km}}{1mi}\cong8\operatorname{km}

pass the kilometers to meters taking into account that 1 km is 1000m


8\operatorname{km}\cdot\frac{1000m}{1\operatorname{km}}=8000m

convert the 45 minutes to hours taking into account that 1 hour has 60 minutes


45\min \cdot(1h)/(60\min )=0.75h

divide the meters he ran by the time it took him to run that distance


(8000m)/(0.75h)\cong(10666.67m)/(h)

He can run about 10666.67 m in 1 hour

another different way to find the equivalences is to write it as relations


\begin{gathered} 1mi\Rightarrow1.6\operatorname{km} \\ 5mi\Rightarrow x \end{gathered}
(x)/(5mi)=\frac{1.6\operatorname{km}}{1mi}

solve for x


\begin{gathered} x=\frac{1.6\operatorname{km}\cdot5mi}{1mi} \\ x=8\operatorname{km} \end{gathered}

User Ayman Elshehawy
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