Question 274196
Two planes having the same airspeed depart simultaneously from the airport, flying in opposite directions.
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One plane flies directly into a 35mph wind, and the other flies in the same direction as the wind.
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After a period of time, one plane has traveled 460 miles abd the other has traveled 404 miles.
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Let x= the airspeed of each plane (note: this is only possible because the airspeed is the same.) 
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Downwind DATA:
Rate: x+35 mph ; distance = 460 miles ; time = d/r = 460/(x+35) hrs.
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Upwind DATA:
Rate: x-35 mph ; distance = 404 miles ; time = d/r = 404/(x-35) hrs.
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Equation:
time = time
460/(x+35) = 404/(x-35)
460(x-35) = 404(x+35)
460x - 460*35 = 404x + 404*35
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56x = 864*35
x = 540 mph
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Cheers,
Stan H.