Problema Solution
An aircraft flying at a steady rate travels 3840 miles with the wind. It can travel only 3260 miles against the wind in the same amount of time. If the speed of the wind is 25 miles per hour, find the speed of the aircraft in clam air.
Answer provided by our tutors
let
v = the speed of the aircraft in calm air
w = 25 mph the speed of the win
d1 = 3840 mi the distance traveled when flying with the wind
d2 = 3260 mi the distance traveled when flying against the wind
the speed of the plane flying with the wind is: v + w = v + 25
the speed of the plane flying against the wind is: v - w = v - 25
since speed = distance/time => time = distance/speed
d1/(v + w) = d2/(v - w)
3840/(v + 25) = 3260/(v - 25)
by solving we find
v = 306.03 mph
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the speed of the aircraft in clam air is 306.06 miles per hour.