SOLUTION: When an airplane flies with a given wind, it can travel 3500km in 5 hours. When the same airplane flies in opposite direction against the wind it takes 7 hours to fly the same pldi

Algebra.Com
Question 1035209: When an airplane flies with a given wind, it can travel 3500km in 5 hours. When the same airplane flies in opposite direction against the wind it takes 7 hours to fly the same pldistance. Find the air speed of the plane and the speed of the wind
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
So typical a type of travel rate exercise that this solution will be all in symbols, and will work for ALL of this type of exercise.


Known variables, h,d,k
Time with wind, h
Time against wind, k
Distance one way for trip, d

Unknown variables, r,w
Air speed for plane absent any wind, r
Speed of wind, w 
                 RATE       TIME    DISTANCE
WITHWIND         r+w          h       d
AGAINSTWIND      r-w          k       d

Starting System of Equations:
Solve this system for r and w.



-----* and you might return to this formula later.
-








Use w to determine value for r.



, LCD is 2kh;
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

When an airplane flies with a given wind, it can travel 3500km in 5 hours. When the same airplane flies in opposite direction against the wind it takes 7 hours to fly the same pldistance. Find the air speed of the plane and the speed of the wind
Let speed, in still air be S, and windspeed, W

Then _____S + W = 700 ------ eq (i)

Also, _____S – W = 500 ------ eq (ii)

2S = 1,200 -------- Adding eqs (ii) & (i)

S, or speed in still air = 



600 + W = 700 -------- Substituting 600 for S in eq (i)

W, or windspeed = 700 – 600, or  

RELATED QUESTIONS


Hi, please help me with this:

When an airplane flies with a given wind, it can travel... (answered by mananth)

When small airplane flies with the wind, it can travel 450 miles per 3 hours. When the... (answered by ikleyn)

 
 An airplane covers a distance of 2,400 miles in 4 hours when it flies with the wind... (answered by josgarithmetic)

an airplane covers a distance of 1500 miles in three hours when it flies with the wind... (answered by Fombitz)


when a plane flies into the wind it can travel 3000 km in 6 hours. when it flies with... (answered by checkley79)

an airplane covers a distance of 750 miles in 2 hours when it flies with the wind and 3... (answered by lwsshak3)

an airplane covers a distance of 750 miles in 2 hours when it flies with the wind and 3... (answered by lynnlo)

When a plane flies with the wind, it can travel 420 miles in 1.5 hours. When the plane... (answered by ankor@dixie-net.com)

An airplane flies 3000 miles coast to coast in 6 hours with a tailwind pushing it. When... (answered by TimothyLamb)