Problema Solution
an airplane flies 490 miles with the wind and 330 against the wind in the same length of time. if the speed of wind is 30, what is the speed of an airplane in still wind?
Answer provided by our tutors
let
v = the speed of the airplane in still air, v>0
w = 30 the speed of the wind
flying with the wind the speed of the plane is: v + w
flying against the wind the speed of the plane is: v - w
since speed = distance/time follows time = distance/speed
490/(v + w) = 330/(v - w)
490/(v + 30) = 330/(v - 30)
by solving we find:
v = 153.75 mph
click here to see the step by step solution of the equation:
the speed if the airplane in still air is 153.75 mph.