Question

Flying to Kimpala with a tail wind a plane averaged 158km/hr. On the return trip the plane only average 112km/hr. While flying back into the same wind find the speed of the wind and the speed of the plane still in air?

Answer 1

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  

$p+w=158$  ................(1)

The effective speed on return journey was  

$p-w=112$ ..............(2)

Adding equation (1) and equation (2) we get,  

⇒ $(p+w)+(p-w) = 158+112$

⇒ $2p = 270$

⇒ $p = 135$

Putting value of $p = 135$ in $p+w=158$ we get:

⇒ $p+w=158$

⇒ $135+w=158$

⇒ $w=23$

Therefore ,The speed of wind and speed of plane in still air  are  23  and  135 km/h respectively.