Question 943843
It takes a private airplane 8.75 hours to make the 2,100-mile flight from Atlanta to Los Angeles and 5 hours to make the return trip. 
Assuming that the wind blows at a constant rate from Los
Angeles to Atlanta, find the airspeed of the plane and the wind rate.
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ATL to LA DATA:
time = 8.75 hrs ; distance = 2100 ; rate = d/t = 2100/8.75 = 240 mph
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LA to ATL DATA:
time = 5 hrs ; distance = 2100 ; rate = d/t = 2100/5 = 420 mph
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Equation:
With-wind:: p + w = 420 mph
Against ::: p - w = 240 mph
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Add and solve for "p"::
2p = 660
plane = 330 mph (speed in still air]
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Subtract and solve for "w"::
2w = 180
w = 90 mph (wind rate)
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Cheers,
Stan H.
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