SOLUTION: Against the wind a commercial airline in South America flew 784 miles in 4 hours. With a tailwind the return trip took 3.5 hours. What was the speed of the plane in still​

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Question 1035329: Against the wind a commercial airline in South America flew 784 miles in 4 hours. With a tailwind the return trip took 3.5 hours. What was the speed of the plane in still​ air? What was the speed of the​ wind?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Against the wind a commercial airline in South America flew 784 miles in 4 hours. With a tailwind the return trip took 3.5 hours. What was the speed of the plane in still​ air? What was the speed of the​ wind?
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The plane's airspeed is the average of the 2 groundspeeds, upwind and downwind.
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Windspeed is the difference between airspeed and groundspeed.

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
Against the wind a commercial airline in South America flew 784 miles in 4 hours. With a tailwind the return trip took 3.5 hours.
What was the speed of the plane in still​ air? What was the speed of the​ wind?
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It is a typical "Wind and Current" word problem.

See the lessons 

    - Wind and Current problems 

    - Selected problems from the archive on a plane flying with and against the wind 

in this site.

In these lessons you will find the detailed solutions of many similar problems. 

Consider them as samples. Read them attentively.

Then solve your problem by substituting your data.

In this way you will learn how to solve similar problems once and for all.