Question

An aeroplane flies 16 km/h with a head wind in 3.5 hours . On return trip with same wind blowing , the plane takes 3 hours .

Answer 1

Let the air speed be x km/hr and speed of the wind be y km/hr.

Given,
, x - y = 1680/3.5

= 480 ---------- (1)

Given, x + y = 1680/3

= 560 ------------ (2)

On solving (1) and (2) we get

x - y = 480
x + y = 560
------------------------
2x = 1040

x = 520.

Substitute x = 520 in above equations, we get y = 40.

Plane's airspeed = 520km/hr and
wind speed = 40km/hr.