SOLUTION: a plane traveling with the wind can travel 1170 miles in 3 hours. Against the same wind the plane can travel 1550 miles in 5 hours. How fast are the plane and the wind traveling?>

Question 936772: a plane traveling with the wind can travel 1170 miles in 3 hours. Against the same wind the plane can travel 1550 miles in 5 hours. How fast are the plane and the wind traveling?>
Found 3 solutions by TimothyLamb, Alan3354, Danielshinmath:
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 = 1170/3
x + y = 390
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upwind:
x - y = 1550/5
x - y = 310
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put the system of linear equations into standard form
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x + y = 390
x - y = 310
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = speed of airplane in still air = 350 mph
y = speed of wind = 40 mph
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Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Find the 2 groundspeeds, upwind and downwind.
The plane's airspeed is the average of the 2.
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windspeed is the difference between airspeed and groundspeed.
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No reason to make it a doctoral dissertation.

Answer by Danielshinmath(31)   (Show Source): You can put this solution on YOUR website!
Find the mph for both trips. Make the plane x and the wind y. So if the plane travels with the wind, it goes 390 mph. x+y=390. If the plane travels against the wind, it goes 310 mph. 310=x-y.
do x+y=390
- x-y=310
2y= 80, so y or the wind speed is 40mph. and the plane speed is 350 mph.
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