Question

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.

Answer 1

Answer: Plane speed is 135 km/h and wind speed is 23 km/h

Step-by-step explanation:Your equations:

P

+

W

=

158

k

m

h

(Flying to Kampala with a tailwind)

P

−

W

=

112

k

m

h

(Flying from Kampala against wind)

Combine these two equations to get plane speed (W):

2

P

=

270

or  

P

=

135

k

m

h

For wind speed you can use either the first or the second equation

P

+

W

=

158

W

=

158

−

P

W

=

158

−

135

W

=

23

k

m

h

This is wind speed (assuming constant).