Question

Flying against the wind an airplane travels 5220 km in 6 hours. flying with the wind, same plane travels 9360 km in 8 hours. what is the rate of the plane and still air and what is the rate of the wind

Answer 1

The formula for the distance is given by:

`\begin{gathered} d=rt \\ so \\ r=(d)/(t) \end{gathered}`

- So, the rate of the airplane against the wind is:

`r=(5220)/(6)=870km\text{ per hour}`

- The rate of the airplane with the wind is:

`r=(9360)/(8)=1170km\text{ per hour}`

- Next, the rate of the wind​ is given by:

`(1170-870)/(2)=(300)/(2)=150km\text{ per hour}`

- And finally, the rate of the plane and still air is:

`870+150=1020km\text{ per hour}`

Answer:

the rate of the plane and still air = 1020 km per hour

the rate of the wind​ = 150 km per hour