Answer :
The speed of wind and speed of plane in still air are 23 and 135 km/h respectively.
Step-by-step explanation:
Let the speed of wind and speed of plane in still air are w and p km/h respectively.
The effective speed on onward journey was
[tex]p+w=158[/tex] ................(1)
The effective speed on return journey was
[tex]p-w=112[/tex] ..............(2)
Adding equation (1) and equation (2) we get,
⇒ [tex](p+w)+(p-w) = 158+112[/tex]
⇒ [tex]2p = 270[/tex]
⇒ [tex]p = 135[/tex]
Putting value of [tex]p = 135[/tex] in [tex]p+w=158[/tex] we get:
⇒ [tex]p+w=158[/tex]
⇒ [tex]135+w=158[/tex]
⇒ [tex]w=23[/tex]
Therefore ,The speed of wind and speed of plane in still air are 23 and 135 km/h respectively.