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Find the speed of the airplane in still air.

An airplane flew for 5 hours against a 20ph headwind. The return trip with the wind took 4 hours. Find the speed of the Plane in still air and explain how you arrived at your conclusion.

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Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
Let v = the speed in still air.
Balance by the distance,
(v-20)5 = (v+20)4
Solve for v,
v = 180 mph <==Answer
Brad M. | STEM Specialist plus Business, Accounting, Investment & EditingSTEM Specialist plus Business, Accountin...
4.9 4.9 (233 lesson ratings) (233)
Hey Ryan -- in this story, the 40mph difference means an hour ->
Four 40's plus 20 wind = five 40's minus 20 wind = 180mph ... Regards, sir :)