Problema Solution
an airplane has a speed of 300 mph in still air against the headwind it flies 900 miles in 4 hours what is the speed of the headwind
Answer provided by our tutors
let
v = 300 mph the speed of the airplane in still air
d = 900 mi the distance it flies
t = 4 hr the time of the travel
h = the speed of the headwind
the speed of the airplane against the wind is: v - h
since speed = distance/time we have
v - h = d/t
300 - h = 900/4
by solving we find
h = 75 mph
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the speed of the headwind was 75 mph.