SOLUTION: A plane travels 675 miles downwind in 3 hours. It turns around and comes back upwind but only travels 525 miles in the same amount of time. how strong is the wind?
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Question 936365: A plane travels 675 miles downwind in 3 hours. It turns around and comes back upwind but only travels 525 miles in the same amount of time. how strong is the wind?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = speed of airplane in still air
y = speed of wind
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s = d/t
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downwind:
x + y = 675/3
x + y = 225
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upwind:
x - y = 525/3
x - y = 175
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put the system of linear equations into standard form
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x + y = 225
x - y = 175
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solution:
x = speed of airplane in still air = 200 mph
y = speed of wind = 25 mph
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