SOLUTION: An airplane flying into a headwind travels 3400 miles in 6 hours and 15 minutes. On the return flight, the same distance is traveled in 5 hours. Find the speed of the plane in stil

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Question 1152905: An airplane flying into a headwind travels 3400 miles in 6 hours and 15 minutes. On the return flight, the same distance is traveled in 5 hours. Find the speed of the plane in still air and the speed of the wind, assuming that both remain constant throughout the round trip.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
r, speed if wind absent
w, speed of wind

system%28r-w=3400%2F6%261%2F4%2Cr%2Bw=3400%2F5%29
Simplify and solve the system.