Answer :
The formula for the distance is given by:
[tex]\begin{gathered} d=rt \\ so \\ r=\frac{d}{t} \end{gathered}[/tex]- So, the rate of the airplane against the wind is:
[tex]r=\frac{5220}{6}=870km\text{ per hour}[/tex]- The rate of the airplane with the wind is:
[tex]r=\frac{9360}{8}=1170km\text{ per hour}[/tex]- Next, the rate of the wind is given by:
[tex]\frac{1170-870}{2}=\frac{300}{2}=150km\text{ per hour}[/tex]- And finally, the rate of the plane and still air is:
[tex]870+150=1020km\text{ per hour}[/tex]Answer:
the rate of the plane and still air = 1020 km per hour
the rate of the wind = 150 km per hour