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An airplane flew for 4.23 hours with a 25.5 km hr tail wind The return flight against the same wind took 4.97 hours Find the speed of the plane in still air?
Wiki User
∙ 13y ago
Call the unknown speed of the airplane in still air s. The time required to cover the distance is equal to the distance divided by the actual speed, which is the sum of the speed in still air plus the speed of the tail wind or the speed in still air minus the speed of the wind in the reverse direction, when it is a head wind, The distance, which can be called d, is the same in both instances; therefore, d/(s + 25.5) = 4.23 and d/(s - 25.5) = 4.97. From the first of these equations, d = 4.23 (s + 25.5). Substituting this equivalent for d into the second yields 4.23(s + 25.5) = 4.97(s - 25.5), or (4.97 - 4.23)s = (4.97 X 25.5) + (4.23 X 25.5), or s =317 km/hr, to the justified number of significant digits.
Wiki User
∙ 13y ago
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An airplane flew for 4.23 hours with a 25.5kmhr tail wind The return flight against the same wind took 4.97 hours Find the speed of the plane in still air?
317
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275 km/hr
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