Answer:
It takes 1600 seconds or [tex]\frac{4}{9}[/tex] hours to travel a distance of 20 km.
Explanation:
Given:
Speed of the motorcycle, [tex]v=45\textrm{ km/h}[/tex]
Distance traveled by the motorcycle, [tex]D=20\textrm{ km}[/tex]
We know that,
[tex]Distance = \frac{Speed}{Time}[/tex]
∴ [tex]Time =\frac{Distance}{Speed}=\frac{D}{v}[/tex]
Plug in 20 km for [tex]D[/tex] and 45 km/h for [tex]v[/tex]. Solve for time.
⇒ Time = [tex]\frac{20}{45}=\frac{4}{9}\textrm{ h}=\frac{4}{9}\times 3600=1600\textrm{ s}[/tex]
Therefore, the time taken to travel a distance of 20 km is 1600 seconds or [tex]\frac{4}{9}[/tex] hours.