SOLUTION: A plane flies 560mi in 1.75 hr traveling with the wind. The return trip later against the same ind takes the plane 2 hrs. Find the speed of the plane and the speed of the wind.

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Question 59796This question is from textbook intermediate algebra
: A plane flies 560mi in 1.75 hr traveling with the wind. The return trip later against the same ind takes the plane 2 hrs. Find the speed of the plane and the speed of the wind. This question is from textbook intermediate algebra

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
A plane flies 560mi in 1.75 hr traveling with the wind. The return trip later against the same ind takes the plane 2 hrs. Find the speed of the plane and the speed of the wind.
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Downwind DATA:
distance= 560 mi ; time = 1.75 hr ; rate = 560/1.75=320 mph
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Upwind DATA:
distance = 560 m ; time = 2 hr ; rate = 560/2=280 mph
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EQUATIONS:
Let speed of plane be "s" and velocity of wind be "w".
s+w=320
s-w=280
Add the equations to get:
2s=600
s=300 mph (speed of the plane in still air)
Substitute in one of the equations to find "w".
300+w=320
w=20 mph (speed of the wind)
Cheers,
Stan H.