Question

An airplane travels 2004 km against the wind in 3 hours and 2544 km with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind in km/h?

Answer 1

An airplane travels 2004 km against the wind in 3 hours.

Thus, speed = 2004/3 = 668 km/hr ,

and

An airplane travels 2544 km against the wind in 3 hours.

Thus, speed = 2544/3 = 848 km/hr

The speed of the plane in still air = (848 + 668 )/2
= 758 km/hr
Thus, the speed of wind is 848 - 758 = 90 km/hr