SOLUTION: A small plane flew 1030 miles in 5 hours with the wind. Then on the return trip, flying against the wind, it traveled only 730 miles in 5 hours. What were the wind velocity and t

Question 922103: A small plane flew 1030 miles in 5 hours with the wind. Then on the return trip, flying against the wind, it traveled only 730 miles in 5 hours. What were the wind velocity and the speed of the plane?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A small plane flew 1030 miles in 5 hours with the wind. Then on the return trip, flying against the wind, it traveled only 730 miles in 5 hours. What were the wind velocity and the speed of the plane?
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With-wind DATA:
distance = 1030 miles ; time = 5 hrs ; rate = 206 mph
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Against-wind DATA:
distance = 730 miles ; time = 5 hrs ; rate = 146 mph
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Equations:
p + w = 206 mph
p - w = 146 mph
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Add and solve for "p"::
2p = 352
p = 176 mph (plane speed with no wind)
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Solve for "w"::
Sutract and solve for "w":
2w = 60
w = 30 mph (wind speed)
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Cheers,
Stan H.
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