SOLUTION: A plane travels 3000km in 3 hours with a tail wind, and 3000km in 4 hours with a head wind. Find the speed of the plane and of the wind.

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Question 322270: A plane travels 3000km in 3 hours with a tail wind, and 3000km in 4 hours with a head wind. Find the speed of the plane and of the wind.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let V be the plane speed, W the wind speed.
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Rate*Time=Distance
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%28V%2BW%293=3000
1.V%2BW=1000
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%28V-W%294=3000
2.V-W=750
Add eq. 1 and eq. 2,
V%2BW%2BV-W=1000%2B750
2V=1750
highlight%28V=875%29 kph
Then use either equation to solve for W.
875%2BW=1000
highlight%28W=125%29 kph