SOLUTION: an airplane flew for 4.23 hours with a 25.5-km/h tail wind. the return flight against the same wind took 4.97 hours. find the speed of the plain in still air.

Question 4969: an airplane flew for 4.23 hours with a 25.5-km/h tail wind. the return flight against the same wind took 4.97 hours. find the speed of the plain in still air.
Answer by Abbey(339) (Show Source): You can put this solution on YOUR website!
let the rate of airplane on the trip going = x+25.5km
Let the rate returning =x-25.5km
the distance is the same both ways,
using rate*time=distance, we have two equations:
(x+25.5)*4.23=d
(x-25.5)*4.97=d
Set them equal to one another,
(x+25.5)*4.23= (x-25.5)*4.97
4.23x+107.865=4.97x-126.735
subtract 4.23x and add 126.735 to both sides:
234.6=.74x
divide by .74
317.027=x
the airplane traveled 317.02kmh in still air.

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