SOLUTION: an airplane flies 600 miles with the wind for 2 hours. the return trip against the wind takes 3 hours. find the speed of the wind and the air speed of the plane.

Question 685380: an airplane flies 600 miles with the wind for 2 hours. the return trip against the wind takes 3 hours. find the speed of the wind and the air speed of the plane.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
an airplane flies 600 miles with the wind for 2 hours. the return trip against the wind takes 3 hours. find the speed of the wind and the air speed of the plane.
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With wind DATA:
distance = 600 miles ; time = 2 hrs ; rate = 600/2 = 300 mph
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Against wind DATA:
distance = 600 miles ; time = 3 hrs ; rate = 600/3 = 200 mph
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Equation:
p + w = 300 mph
p - w = 200 mph
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Add and solve for "p"
2p = 500
plane rate = 250 mph
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Solve for "w" using p + w = 300
w + 250 = 300
wind = 50 mph
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Cheers,
Stan H.

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