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Making a round trip from Fairview to Cartersville, a distance of 20 miles, a pilot faces 30 mph head wind one way and 30 mph tail wind on the return trip. The return trip takes 45 minutes less than the outbound journey. Find the speed of the plane in still air

 Aug 29, 2020
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Let the speed of the plane in still air = S
Let the time it takes flying into head winds = T

 

T(S - 30) = 20,  
(T - 3/4)* (S + 30)=20, solve for T, S


T = 1 hour - flying into head winds
S = 50 mph - plane's speed in still air.

 Aug 29, 2020

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