Question 58071
How far west can a pilot go and return in a total time of 3 hours if his air speed is 450 mph and the wind velocity from the west is 5 mph? 
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Let the distanc he can go be "x"
Going west DATA:
rate= 450-5 =445 mph ; distance = x miles ; time = d/r = x/445
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Returning DATA:
rate = 450+5 = 455 mph; distance = x miles ; time = d/r = x/455
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EQUATIOn:
time west + time east = 3 hrs
x/445 + x/455 = 3
455x + 445x = 3*455*455
900x= 907425
x=674.92 miles (This is as far as he can go west)
Cheers,
Stan H.