Question

2. Flying to Kampala with a tailwind a plane averaged 158 km/h . On the return trip the plane only averaged 112 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.

Help please

Answer 1

Speed of plane in still air = 135 km/h

Speed of wind = 23 km/h

Explanation:

Given that:

Speed of plane with the wind = 158km/h

Speed of plane against the wind = 112km/h

Let,

x be the speed of plane

y be the speed of wind

According to given statement;

x+y = 158 Eqn 1

x-y = 112 Eqn 2

Adding Eqn 1 and 2

`x+y+x-y=158+112\\2x = 170\\(2x)/(2)=(270)/(2)\\x=135`

Putting x = 135 in Eqn 1

135+y = 158

y = 158-135

y = 23

Hence,

Speed of plane in still air = 135 km/h

Speed of wind = 23 km/h