# Algebra 7 - Time with the wind = t Time against the wind =...

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A plane flies 480 miles with the wind and 320 miles against the wind in the same length of time. If the speed of the wind is 28mph, what is the speed of the plane in still air? Let the speed of the plane in still air be x The speed of the plane with the wind would equal x + 28 The speed of the plane against the wind would be x – 28 Since Distance = Rate x Time And since: Distance with the wind = 480 Distance against the wind = 320

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Unformatted text preview: Time with the wind = t Time against the wind = t Therefore: 480 = (x+28)t 480 28 t x = + 320 = (x-28)t 320 28 t x =-Since time is the same, then we can say: 480 320 28 28 x x = +-480(x-28) = 320(x + 28) 480x – 13440 = 320x + 8960 480x – 320x = 8960 + 13440 160x = 22400 x = 22400 160 x = 140 miles The speed of the plane in still air is 140 miles per hour...
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Algebra 7 - Time with the wind = t Time against the wind =...

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