SOLUTION: An airplane flies 840 mi in 3 hours with a tail wind. The return trip at the same airspeed takes 3.5 hours. Find the wind speed and the airspeed.

Question 318962: An airplane flies 840 mi in 3 hours with a tail wind. The return trip at the same airspeed takes 3.5 hours. Find the wind speed and the airspeed.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Rate*Time=Distance
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.
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Let P be the plane speed, W the wind speed.
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.
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<--- with the wind
1.mph
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.
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<--- against the wind
2.mph
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.
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Add eq. 1 and eq. 2 to eliminate W,

Then use either equation to solve for W,

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