SOLUTION: 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. Find the speed of the plane in still air and the spee
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Question 626943: 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. Find the speed of the plane in still air and the speed of the wind.
Pls. use two variables. Answer by ewatrrr(24785) (Show Source):
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
