Hi,

An airplane flight took 2 hrs. to travel 780 miles with the headwind 

and the return trip with the tailwind only takes 1.5 hrs. 

Let p and w  represent the speed of the plane in still air and the speed of the wind respectively

Question states*** Note: D = rt or  t = D/r

 2 = 780/(p-w)  ⇒ (p-w) = 780/2 = 390  ⇒ p = 

 1.5 = 780/(p+w)    

p+w = 780/1.5= 520   

 + w = 520

       2w = 130  

        w = 65mph   and p = 455mph    || p = 

and****Checking our Answer

 

 

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