Map

On a tourist map with a scale of 1:100000 is the distance between two points along a straight road 8.9 cm. How long travels this distance on a bike at 25 km/h? Time express in minutes.

Final Answer:

t =  21.4 min

Step-by-step explanation:

$$\begin{gathered} M=100000 \\ a=8.9\text{cm}\to \text{km}=8.9:100000\text{km}=9.0\cdot 10^{-5}\text{km} \\ v=25\text{km/h} \\ s=100000\cdot a=100000\cdot 0.0001=\frac{89}{10}=8.9\text{km} \\ s=vt \\ {t}_1=s/v=8.9/25=\frac{89}{250}=0.356\text{h} \\ t=t_1\to \text{min}=t_1\cdot 60\text{min}=0.356\cdot 60\text{min}=21.4\text{min}=21.4\text{min} \end{gathered}$$

Try another example