# Movement

From the crossing of two perpendicular roads started two cyclists (each at different road). One runs at average speed 28 km/h, the second at average speed 24 km/h. Determine the distance between them after 45 minutes cycling.

Correct result:

x =  27.659 km

#### Solution:

$t=45 \ min \rightarrow h=45 / 60 \ h=0.75 \ h \ \\ v_{1}=28 \ \text{km/h} \ \\ v_{2}=24 \ \text{km/h} \ \\ \ \\ s_{1}=v_{1} \cdot \ t=28 \cdot \ 0.75=21 \ \text{km} \ \\ s_{2}=v_{2} \cdot \ t=24 \cdot \ 0.75=18 \ \text{km} \ \\ \ \\ x=\sqrt{ s_{1}^2 + s_{2}^2 }=\sqrt{ 21^2 + 18^2 }=3 \ \sqrt{ 85 }=27.659 \ \text{km}$

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