Cook Island map

On the Cook Island map, the cycling trail measures 0.025 m. A cyclist moving at a constant speed of 15 km/h will cover the entire trail in 2/3 hours. Determine the scale of the Cook Island map.

Final Answer:

M =  1:400000

Step-by-step explanation:

$$\begin{gathered} v=15\text{km/h} \\ t=2/3=\frac{2}{3}\doteq 0.6667\text{h} \\ s=v\cdot t=15\cdot 0.6667=10\text{km} \\ {s}_1=s\to \text{m}=s\cdot 1000\text{m}=10\cdot 1000\text{m}=10000\text{m} \\ {s}_2=0.025\text{m} \\ M=s_2/s_1=0.025/10000\approx 3.0\times 10^{-6}=1:400000 \end{gathered}$$

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